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Finding the Fourth Proportional to 3,757.46, 5,187.38 and 2,265.75

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Solution

The fourth proportional to 3,757.46, 5,187.38 and 2,265.75 is: 3,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.46 : 5,187.38 = 2,265.75 : x
  2. Step 2: Convert to fraction form
    3,757.46/5,187.38 = 2,265.75/x
  3. Step 3: Cross multiply
    3,757.46x = 5,187.38 × 2,265.75
  4. Step 4: Simplify right side
    3,757.46x = 11,753,294.91
  5. Step 5: Solve for x
    x = 11,753,294.91/3,757.46
  6. Step 6: Final answer
    x = 3,127.99

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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.