Florida hookers. Cocaine. Gambling treks to Vegas. Seduction.

This was the world of Ryan Gosin, a Long Island man who, prosecutors say, financed his vices by helping run a $5 million mortgage-fraud scheme.

To further his goals, Gosin plied a female bank vice president with cocaine. And he charmed other women with “sexual encounters” to further his illegal scheme, prosecutors said, calling it part of Gosin’s “toxic” mix.

“Hedonistic” was how a prosecutor described him during his sentencing yesterday in Brooklyn federal court.

He stole the identities of innocent people and coaxed friends into becoming straw buyers. Financial institutions and individuals lost money — one the mother of a Sept. 11 victim.

Judge Nina Gershon sentenced Gosin to nearly six years in prison and a $50,000 fine.