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Finding the Fourth Proportional to 5,508.64, 7,600.08 and 3,149.12

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Solution

The fourth proportional to 5,508.64, 7,600.08 and 3,149.12 is: 4,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508.64 : 7,600.08 = 3,149.12 : x
  2. Step 2: Convert to fraction form
    5,508.64/7,600.08 = 3,149.12/x
  3. Step 3: Cross multiply
    5,508.64x = 7,600.08 × 3,149.12
  4. Step 4: Simplify right side
    5,508.64x = 23,933,563.93
  5. Step 5: Solve for x
    x = 23,933,563.93/5,508.64
  6. Step 6: Final answer
    x = 4,344.73

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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.