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Finding the Fourth Proportional to 3,689.92, 5,537.31 and 1,742.32

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Solution

The fourth proportional to 3,689.92, 5,537.31 and 1,742.32 is: 2,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.92 : 5,537.31 = 1,742.32 : x
  2. Step 2: Convert to fraction form
    3,689.92/5,537.31 = 1,742.32/x
  3. Step 3: Cross multiply
    3,689.92x = 5,537.31 × 1,742.32
  4. Step 4: Simplify right side
    3,689.92x = 9,647,765.96
  5. Step 5: Solve for x
    x = 9,647,765.96/3,689.92
  6. Step 6: Final answer
    x = 2,614.63

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