È così stupida da credere a una cosa simile.

English Original Sentence

She’s so stupid to believe such a thing.

Is da the correct preposition? I would naively have used a.

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You are right. You can use “da credere”, but it means “She is so stupid she even believes such a thing”.
“È così stupida a credere una cosa simile” means “She is so stupid for believing such a thing”.

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