Brahms, Piano Quintet in F Minor, op. 34, mvt. 3

This work originated as a string quintet; Brahms later transcribed it as a sonata for two pianos. The third movement, featured here, ends with a prominent melodic gesture. How is this gesture transformed at the beginning of the fourth movement?

The contextual listening on "Satin Doll" (Expanding the Repertoire 21-5, below) will provide a special perspective on one of the questions in this assignment.