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Finding the Fourth Proportional to 3,534.92, 5,294.18 and 3,411.91

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Solution

The fourth proportional to 3,534.92, 5,294.18 and 3,411.91 is: 5,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.92 : 5,294.18 = 3,411.91 : x
  2. Step 2: Convert to fraction form
    3,534.92/5,294.18 = 3,411.91/x
  3. Step 3: Cross multiply
    3,534.92x = 5,294.18 × 3,411.91
  4. Step 4: Simplify right side
    3,534.92x = 18,063,222.15
  5. Step 5: Solve for x
    x = 18,063,222.15/3,534.92
  6. Step 6: Final answer
    x = 5,109.94

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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.