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Finding the Fourth Proportional to 3,732.16, 5,150.50 and 2,053.62

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Solution

The fourth proportional to 3,732.16, 5,150.50 and 2,053.62 is: 2,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.16 : 5,150.50 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    3,732.16/5,150.50 = 2,053.62/x
  3. Step 3: Cross multiply
    3,732.16x = 5,150.50 × 2,053.62
  4. Step 4: Simplify right side
    3,732.16x = 10,577,159.54
  5. Step 5: Solve for x
    x = 10,577,159.54/3,732.16
  6. Step 6: Final answer
    x = 2,834.06

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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.