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Finding the Fourth Proportional to 5,408.80, 8,115.12 and 2,813.92

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Solution

The fourth proportional to 5,408.80, 8,115.12 and 2,813.92 is: 4,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.80 : 8,115.12 = 2,813.92 : x
  2. Step 2: Convert to fraction form
    5,408.80/8,115.12 = 2,813.92/x
  3. Step 3: Cross multiply
    5,408.80x = 8,115.12 × 2,813.92
  4. Step 4: Simplify right side
    5,408.80x = 22,835,298.47
  5. Step 5: Solve for x
    x = 22,835,298.47/5,408.80
  6. Step 6: Final answer
    x = 4,221.88

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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.