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Finding the Fourth Proportional to 5,149.25, 7,725.17 and 2,377.86

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Solution

The fourth proportional to 5,149.25, 7,725.17 and 2,377.86 is: 3,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.25 : 7,725.17 = 2,377.86 : x
  2. Step 2: Convert to fraction form
    5,149.25/7,725.17 = 2,377.86/x
  3. Step 3: Cross multiply
    5,149.25x = 7,725.17 × 2,377.86
  4. Step 4: Simplify right side
    5,149.25x = 18,369,360.85
  5. Step 5: Solve for x
    x = 18,369,360.85/5,149.25
  6. Step 6: Final answer
    x = 3,567.39

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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.