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Finding the Fourth Proportional to 3,349.29, 5,022.97 and 1,127.88

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Solution

The fourth proportional to 3,349.29, 5,022.97 and 1,127.88 is: 1,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.29 : 5,022.97 = 1,127.88 : x
  2. Step 2: Convert to fraction form
    3,349.29/5,022.97 = 1,127.88/x
  3. Step 3: Cross multiply
    3,349.29x = 5,022.97 × 1,127.88
  4. Step 4: Simplify right side
    3,349.29x = 5,665,304.58
  5. Step 5: Solve for x
    x = 5,665,304.58/3,349.29
  6. Step 6: Final answer
    x = 1,691.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.