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Finding the Fourth Proportional to 3,781.24, 5,672.88 and 1,316.20

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Solution

The fourth proportional to 3,781.24, 5,672.88 and 1,316.20 is: 1,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.24 : 5,672.88 = 1,316.20 : x
  2. Step 2: Convert to fraction form
    3,781.24/5,672.88 = 1,316.20/x
  3. Step 3: Cross multiply
    3,781.24x = 5,672.88 × 1,316.20
  4. Step 4: Simplify right side
    3,781.24x = 7,466,644.66
  5. Step 5: Solve for x
    x = 7,466,644.66/3,781.24
  6. Step 6: Final answer
    x = 1,974.66

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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.