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Finding the Fourth Proportional to 3,773.38, 5,207.13 and 2,280.75

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Solution

The fourth proportional to 3,773.38, 5,207.13 and 2,280.75 is: 3,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.38 : 5,207.13 = 2,280.75 : x
  2. Step 2: Convert to fraction form
    3,773.38/5,207.13 = 2,280.75/x
  3. Step 3: Cross multiply
    3,773.38x = 5,207.13 × 2,280.75
  4. Step 4: Simplify right side
    3,773.38x = 11,876,135.71
  5. Step 5: Solve for x
    x = 11,876,135.71/3,773.38
  6. Step 6: Final answer
    x = 3,147.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.