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Finding the Fourth Proportional to 3,493.17, 5,231.12 and 2,027.88

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Solution

The fourth proportional to 3,493.17, 5,231.12 and 2,027.88 is: 3,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.17 : 5,231.12 = 2,027.88 : x
  2. Step 2: Convert to fraction form
    3,493.17/5,231.12 = 2,027.88/x
  3. Step 3: Cross multiply
    3,493.17x = 5,231.12 × 2,027.88
  4. Step 4: Simplify right side
    3,493.17x = 10,608,073.49
  5. Step 5: Solve for x
    x = 10,608,073.49/3,493.17
  6. Step 6: Final answer
    x = 3,036.80

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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.