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Finding the Fourth Proportional to 5,272.87, 7,902.47 and 2,149.30

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Solution

The fourth proportional to 5,272.87, 7,902.47 and 2,149.30 is: 3,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.87 : 7,902.47 = 2,149.30 : x
  2. Step 2: Convert to fraction form
    5,272.87/7,902.47 = 2,149.30/x
  3. Step 3: Cross multiply
    5,272.87x = 7,902.47 × 2,149.30
  4. Step 4: Simplify right side
    5,272.87x = 16,984,763.71
  5. Step 5: Solve for x
    x = 16,984,763.71/5,272.87
  6. Step 6: Final answer
    x = 3,221.16

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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.