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Finding the Fourth Proportional to 3,402.72, 5,104.17 and 937.58

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Solution

The fourth proportional to 3,402.72, 5,104.17 and 937.58 is: 1,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 5,104.17 = 937.58 : x
  2. Step 2: Convert to fraction form
    3,402.72/5,104.17 = 937.58/x
  3. Step 3: Cross multiply
    3,402.72x = 5,104.17 × 937.58
  4. Step 4: Simplify right side
    3,402.72x = 4,785,542.19
  5. Step 5: Solve for x
    x = 4,785,542.19/3,402.72
  6. Step 6: Final answer
    x = 1,406.39

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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.