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Finding the Fourth Proportional to 3,733.82, 5,602.32 and 1,424.78

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Solution

The fourth proportional to 3,733.82, 5,602.32 and 1,424.78 is: 2,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.82 : 5,602.32 = 1,424.78 : x
  2. Step 2: Convert to fraction form
    3,733.82/5,602.32 = 1,424.78/x
  3. Step 3: Cross multiply
    3,733.82x = 5,602.32 × 1,424.78
  4. Step 4: Simplify right side
    3,733.82x = 7,982,073.49
  5. Step 5: Solve for x
    x = 7,982,073.49/3,733.82
  6. Step 6: Final answer
    x = 2,137.78

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