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Finding the Fourth Proportional to 3,781.74, 5,672.60 and 1,184.88

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Solution

The fourth proportional to 3,781.74, 5,672.60 and 1,184.88 is: 1,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.74 : 5,672.60 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    3,781.74/5,672.60 = 1,184.88/x
  3. Step 3: Cross multiply
    3,781.74x = 5,672.60 × 1,184.88
  4. Step 4: Simplify right side
    3,781.74x = 6,721,350.29
  5. Step 5: Solve for x
    x = 6,721,350.29/3,781.74
  6. Step 6: Final answer
    x = 1,777.32

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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.