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Finding the Fourth Proportional to 3,836.72, 5,294.76 and 2,264.24

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Solution

The fourth proportional to 3,836.72, 5,294.76 and 2,264.24 is: 3,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.72 : 5,294.76 = 2,264.24 : x
  2. Step 2: Convert to fraction form
    3,836.72/5,294.76 = 2,264.24/x
  3. Step 3: Cross multiply
    3,836.72x = 5,294.76 × 2,264.24
  4. Step 4: Simplify right side
    3,836.72x = 11,988,607.38
  5. Step 5: Solve for x
    x = 11,988,607.38/3,836.72
  6. Step 6: Final answer
    x = 3,124.70

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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.