\[\boxed{\text{4.\ 310}}\]
\[\textbf{а)}\ 3\frac{5}{9}\ :\left( - \frac{4}{27} \right) = - \frac{32}{9} \cdot \frac{27}{4} =\]
\[= - 8 \cdot 3 = - 24\]
\[\textbf{б)} - 4\frac{1}{8}\ :( - 33) = \frac{33}{8} \cdot \frac{1}{33} = \frac{1}{8}\]
\[\textbf{в)} - 1\frac{3}{11}\ :\left( - 3\frac{7}{22} \right) = \frac{14}{11}\ :\frac{73}{22} =\]
\[= \frac{14}{11} \cdot \frac{22}{73} = \frac{28}{73}\]
\[\textbf{г)} - 7\frac{1}{7}\ :1\frac{11}{49} = - \frac{50}{7}\ :\frac{60}{49} =\]
\[= - \frac{50}{7} \cdot \frac{49}{60} = - \frac{5 \cdot 7}{6} = - \frac{35}{6} =\]
\[= - 5\frac{5}{6}\]