Решим уравнение:
$$\frac{3,8}{4c + 3} = \frac{2}{2\frac{2}{19}}$$.
$$\frac{3,8}{4c + 3} = \frac{2}{\frac{40}{19}}$$.
$$\frac{3,8}{4c + 3} = \frac{2 * 19}{40}$$.
$$\frac{3,8}{4c + 3} = \frac{19}{20}$$.
$$4c + 3 = \frac{3,8 * 20}{19}$$.
$$4c + 3 = \frac{38 * 2}{19}$$.
$$4c + 3 = 2 * 2$$.
$$4c + 3 = 4$$.
$$4c = 1$$.
$$c = \frac{1}{4} = 0,25$$.
Ответ: $$c = 0,25$$.