"get dishonestly or deviously," 1926, American English, possibly a variant of English dialectal fainaigue "to cheat or renege" (at cards), which is of unknown origin. Liberman says finagle is from figgle, phonetic variant of fiddle "fidget about," frequentative of fig. Related: Finagled; finagling.
filtrate
filtration
fimbria
fin
fin de siecle
finagle
final
final solution
finale
finalise
finalist