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Finding the Fourth Proportional to 3,781.28, 5,672.52 and 1,183.64

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Solution

The fourth proportional to 3,781.28, 5,672.52 and 1,183.64 is: 1,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.28 : 5,672.52 = 1,183.64 : x
  2. Step 2: Convert to fraction form
    3,781.28/5,672.52 = 1,183.64/x
  3. Step 3: Cross multiply
    3,781.28x = 5,672.52 × 1,183.64
  4. Step 4: Simplify right side
    3,781.28x = 6,714,221.57
  5. Step 5: Solve for x
    x = 6,714,221.57/3,781.28
  6. Step 6: Final answer
    x = 1,775.65

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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.