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Finding the Fourth Proportional to 4,129.74, 5,691.17 and 4,053.83

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Solution

The fourth proportional to 4,129.74, 5,691.17 and 4,053.83 is: 5,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.74 : 5,691.17 = 4,053.83 : x
  2. Step 2: Convert to fraction form
    4,129.74/5,691.17 = 4,053.83/x
  3. Step 3: Cross multiply
    4,129.74x = 5,691.17 × 4,053.83
  4. Step 4: Simplify right side
    4,129.74x = 23,071,022.43
  5. Step 5: Solve for x
    x = 23,071,022.43/4,129.74
  6. Step 6: Final answer
    x = 5,586.55

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