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Finding the Fourth Proportional to 3,757.39, 5,183.54 and 2,264.42

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Solution

The fourth proportional to 3,757.39, 5,183.54 and 2,264.42 is: 3,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.39 : 5,183.54 = 2,264.42 : x
  2. Step 2: Convert to fraction form
    3,757.39/5,183.54 = 2,264.42/x
  3. Step 3: Cross multiply
    3,757.39x = 5,183.54 × 2,264.42
  4. Step 4: Simplify right side
    3,757.39x = 11,737,721.78
  5. Step 5: Solve for x
    x = 11,737,721.78/3,757.39
  6. Step 6: Final answer
    x = 3,123.91

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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.