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Finding the Fourth Proportional to 3,997.12, 5,519.52 and 3,866.56

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Solution

The fourth proportional to 3,997.12, 5,519.52 and 3,866.56 is: 5,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.12 : 5,519.52 = 3,866.56 : x
  2. Step 2: Convert to fraction form
    3,997.12/5,519.52 = 3,866.56/x
  3. Step 3: Cross multiply
    3,997.12x = 5,519.52 × 3,866.56
  4. Step 4: Simplify right side
    3,997.12x = 21,341,555.25
  5. Step 5: Solve for x
    x = 21,341,555.25/3,997.12
  6. Step 6: Final answer
    x = 5,339.23

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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.