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Finding the Fourth Proportional to 3,781.60, 5,672.56 and 1,184.56

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Solution

The fourth proportional to 3,781.60, 5,672.56 and 1,184.56 is: 1,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.60 : 5,672.56 = 1,184.56 : x
  2. Step 2: Convert to fraction form
    3,781.60/5,672.56 = 1,184.56/x
  3. Step 3: Cross multiply
    3,781.60x = 5,672.56 × 1,184.56
  4. Step 4: Simplify right side
    3,781.60x = 6,719,487.67
  5. Step 5: Solve for x
    x = 6,719,487.67/3,781.60
  6. Step 6: Final answer
    x = 1,776.89

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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.