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Finding the Fourth Proportional to 3,781.67, 5,672.32 and 1,149.06

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Solution

The fourth proportional to 3,781.67, 5,672.32 and 1,149.06 is: 1,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.67 : 5,672.32 = 1,149.06 : x
  2. Step 2: Convert to fraction form
    3,781.67/5,672.32 = 1,149.06/x
  3. Step 3: Cross multiply
    3,781.67x = 5,672.32 × 1,149.06
  4. Step 4: Simplify right side
    3,781.67x = 6,517,836.02
  5. Step 5: Solve for x
    x = 6,517,836.02/3,781.67
  6. Step 6: Final answer
    x = 1,723.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.