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Finding the Fourth Proportional to 3,781.38, 5,672.88 and 1,184.25

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Solution

The fourth proportional to 3,781.38, 5,672.88 and 1,184.25 is: 1,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.38 : 5,672.88 = 1,184.25 : x
  2. Step 2: Convert to fraction form
    3,781.38/5,672.88 = 1,184.25/x
  3. Step 3: Cross multiply
    3,781.38x = 5,672.88 × 1,184.25
  4. Step 4: Simplify right side
    3,781.38x = 6,718,108.14
  5. Step 5: Solve for x
    x = 6,718,108.14/3,781.38
  6. Step 6: Final answer
    x = 1,776.63

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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.