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Finding the Fourth Proportional to 3,773.53, 5,207.72 and 2,180.24

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Solution

The fourth proportional to 3,773.53, 5,207.72 and 2,180.24 is: 3,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.53 : 5,207.72 = 2,180.24 : x
  2. Step 2: Convert to fraction form
    3,773.53/5,207.72 = 2,180.24/x
  3. Step 3: Cross multiply
    3,773.53x = 5,207.72 × 2,180.24
  4. Step 4: Simplify right side
    3,773.53x = 11,354,081.57
  5. Step 5: Solve for x
    x = 11,354,081.57/3,773.53
  6. Step 6: Final answer
    x = 3,008.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.