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Finding the Fourth Proportional to 5,489.90, 8,229.45 and 4,906.70

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Solution

The fourth proportional to 5,489.90, 8,229.45 and 4,906.70 is: 7,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.90 : 8,229.45 = 4,906.70 : x
  2. Step 2: Convert to fraction form
    5,489.90/8,229.45 = 4,906.70/x
  3. Step 3: Cross multiply
    5,489.90x = 8,229.45 × 4,906.70
  4. Step 4: Simplify right side
    5,489.90x = 40,379,442.32
  5. Step 5: Solve for x
    x = 40,379,442.32/5,489.90
  6. Step 6: Final answer
    x = 7,355.22

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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.