Barcelona reached their first Champions League final since 2011, despite Pep Guardiola's Bayern Munich salvaging pride in the return leg in Germany.
Trailing 3-0 from the first leg, Bayern revived their hopes through Medhi Benatia's early downward header.
Barca levelled when Luis Suarez squared for a tap-in from Neymar, who drilled in after the pair combined again.
Robert Lewandowski and Thomas Muller both curled in as Bayern won on the night, but Barca still progressed.
And the Spanish club's success means the tantalising prospect of an 'El Clasico' showpiece against Real Madrid in the 6 June final in Berlin remains alive.
Their La Liga rivals must overturn a 2-1 first-leg deficit against Italian champions Juventus on Wednesday for the opportunity to defend their European crown against Barca.
Match facts | |
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Bayern attempted 19 shots, the highest tally recorded against Barca in the Champions League since Schalke in 2008
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Only Cristiano Ronaldo (38) and Lionel Messi (26) have scored more Champions League goals since start of 2012-13 than Robert Lewandowski (22)
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Barcelona have reached their 18th European final - an all-time record
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Bayern stopped Barca equalling their record winning run of 10 straight Champions League victories
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Few outsiders had given German title-winners Bayern any chance of overturning the visitors' advantage after a clinical victory at the Nou Camp last Wednesday.
And ultimately they were proved right as the Spanish league leaders comfortably maintained their ambitions of a La Liga, Champions League and Copa del Rey treble.
But Bayern were left wondering what might have been after wasting several chances and failing to keep out Barca's potent attack with some hazardous defending.
Guardiola's side had made the perfect start through Benatia's first Champions League goal. The defender was allowed a free header to nod into the bottom left corner from 15 yards.
But the optimism that swept across the vast majority of the Allianz Arena lasted less than eight minutes.
Guardiola, in charge of Barcelona between 2008 and 2012, insisted his team would attack sensibly and patiently as they aimed to become only the second team to overturn a three-goal first-leg deficit in a Champions League knockout tie.