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Finding the Fourth Proportional to 5,500.96, 8,256.68 and 3,414.65

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Solution

The fourth proportional to 5,500.96, 8,256.68 and 3,414.65 is: 5,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.96 : 8,256.68 = 3,414.65 : x
  2. Step 2: Convert to fraction form
    5,500.96/8,256.68 = 3,414.65/x
  3. Step 3: Cross multiply
    5,500.96x = 8,256.68 × 3,414.65
  4. Step 4: Simplify right side
    5,500.96x = 28,193,655.29
  5. Step 5: Solve for x
    x = 28,193,655.29/5,500.96
  6. Step 6: Final answer
    x = 5,125.23

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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.