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Finding the Fourth Proportional to 5,221.30, 7,819.80 and 5,116.90

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Solution

The fourth proportional to 5,221.30, 7,819.80 and 5,116.90 is: 7,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.30 : 7,819.80 = 5,116.90 : x
  2. Step 2: Convert to fraction form
    5,221.30/7,819.80 = 5,116.90/x
  3. Step 3: Cross multiply
    5,221.30x = 7,819.80 × 5,116.90
  4. Step 4: Simplify right side
    5,221.30x = 40,013,134.62
  5. Step 5: Solve for x
    x = 40,013,134.62/5,221.30
  6. Step 6: Final answer
    x = 7,663.44

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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.