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Finding the Fourth Proportional to 3,732.83, 5,151.10 and 2,053.97

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Solution

The fourth proportional to 3,732.83, 5,151.10 and 2,053.97 is: 2,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.83 : 5,151.10 = 2,053.97 : x
  2. Step 2: Convert to fraction form
    3,732.83/5,151.10 = 2,053.97/x
  3. Step 3: Cross multiply
    3,732.83x = 5,151.10 × 2,053.97
  4. Step 4: Simplify right side
    3,732.83x = 10,580,204.87
  5. Step 5: Solve for x
    x = 10,580,204.87/3,732.83
  6. Step 6: Final answer
    x = 2,834.37

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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.