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Finding the Fourth Proportional to 3,731.29, 5,149.29 and 2,052.74

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Solution

The fourth proportional to 3,731.29, 5,149.29 and 2,052.74 is: 2,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.29 : 5,149.29 = 2,052.74 : x
  2. Step 2: Convert to fraction form
    3,731.29/5,149.29 = 2,052.74/x
  3. Step 3: Cross multiply
    3,731.29x = 5,149.29 × 2,052.74
  4. Step 4: Simplify right side
    3,731.29x = 10,570,153.55
  5. Step 5: Solve for x
    x = 10,570,153.55/3,731.29
  6. Step 6: Final answer
    x = 2,832.84

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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.