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Finding the Fourth Proportional to 3,642.98, 5,027.67 and 2,227.30

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Solution

The fourth proportional to 3,642.98, 5,027.67 and 2,227.30 is: 3,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.98 : 5,027.67 = 2,227.30 : x
  2. Step 2: Convert to fraction form
    3,642.98/5,027.67 = 2,227.30/x
  3. Step 3: Cross multiply
    3,642.98x = 5,027.67 × 2,227.30
  4. Step 4: Simplify right side
    3,642.98x = 11,198,116.82
  5. Step 5: Solve for x
    x = 11,198,116.82/3,642.98
  6. Step 6: Final answer
    x = 3,073.89

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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.