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Finding the Fourth Proportional to 5,689.71, 8,534.16 and 2,402.73

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Solution

The fourth proportional to 5,689.71, 8,534.16 and 2,402.73 is: 3,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.71 : 8,534.16 = 2,402.73 : x
  2. Step 2: Convert to fraction form
    5,689.71/8,534.16 = 2,402.73/x
  3. Step 3: Cross multiply
    5,689.71x = 8,534.16 × 2,402.73
  4. Step 4: Simplify right side
    5,689.71x = 20,505,282.26
  5. Step 5: Solve for x
    x = 20,505,282.26/5,689.71
  6. Step 6: Final answer
    x = 3,603.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.