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Finding the Fourth Proportional to 3,781.56, 5,672.64 and 1,184.49

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Solution

The fourth proportional to 3,781.56, 5,672.64 and 1,184.49 is: 1,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.56 : 5,672.64 = 1,184.49 : x
  2. Step 2: Convert to fraction form
    3,781.56/5,672.64 = 1,184.49/x
  3. Step 3: Cross multiply
    3,781.56x = 5,672.64 × 1,184.49
  4. Step 4: Simplify right side
    3,781.56x = 6,719,185.35
  5. Step 5: Solve for x
    x = 6,719,185.35/3,781.56
  6. Step 6: Final answer
    x = 1,776.83

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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.