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Finding the Fourth Proportional to 5,200.92, 7,166.88 and 3,706.20

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Solution

The fourth proportional to 5,200.92, 7,166.88 and 3,706.20 is: 5,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.92 : 7,166.88 = 3,706.20 : x
  2. Step 2: Convert to fraction form
    5,200.92/7,166.88 = 3,706.20/x
  3. Step 3: Cross multiply
    5,200.92x = 7,166.88 × 3,706.20
  4. Step 4: Simplify right side
    5,200.92x = 26,561,890.66
  5. Step 5: Solve for x
    x = 26,561,890.66/5,200.92
  6. Step 6: Final answer
    x = 5,107.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.