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Finding the Fourth Proportional to 3,402.71, 5,104.19 and 937.72

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Solution

The fourth proportional to 3,402.71, 5,104.19 and 937.72 is: 1,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.71 : 5,104.19 = 937.72 : x
  2. Step 2: Convert to fraction form
    3,402.71/5,104.19 = 937.72/x
  3. Step 3: Cross multiply
    3,402.71x = 5,104.19 × 937.72
  4. Step 4: Simplify right side
    3,402.71x = 4,786,301.05
  5. Step 5: Solve for x
    x = 4,786,301.05/3,402.71
  6. Step 6: Final answer
    x = 1,406.61

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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.