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Finding the Fourth Proportional to 3,773.31, 5,207.40 and 2,180.25

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Solution

The fourth proportional to 3,773.31, 5,207.40 and 2,180.25 is: 3,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.31 : 5,207.40 = 2,180.25 : x
  2. Step 2: Convert to fraction form
    3,773.31/5,207.40 = 2,180.25/x
  3. Step 3: Cross multiply
    3,773.31x = 5,207.40 × 2,180.25
  4. Step 4: Simplify right side
    3,773.31x = 11,353,433.85
  5. Step 5: Solve for x
    x = 11,353,433.85/3,773.31
  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.