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Finding the Fourth Proportional to 3,732.44, 5,150.42 and 2,053.82

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Solution

The fourth proportional to 3,732.44, 5,150.42 and 2,053.82 is: 2,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.44 : 5,150.42 = 2,053.82 : x
  2. Step 2: Convert to fraction form
    3,732.44/5,150.42 = 2,053.82/x
  3. Step 3: Cross multiply
    3,732.44x = 5,150.42 × 2,053.82
  4. Step 4: Simplify right side
    3,732.44x = 10,578,025.34
  5. Step 5: Solve for x
    x = 10,578,025.34/3,732.44
  6. Step 6: Final answer
    x = 2,834.08

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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.