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Finding the Fourth Proportional to 3,489.52, 5,227.36 and 2,103.22

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Solution

The fourth proportional to 3,489.52, 5,227.36 and 2,103.22 is: 3,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.52 : 5,227.36 = 2,103.22 : x
  2. Step 2: Convert to fraction form
    3,489.52/5,227.36 = 2,103.22/x
  3. Step 3: Cross multiply
    3,489.52x = 5,227.36 × 2,103.22
  4. Step 4: Simplify right side
    3,489.52x = 10,994,288.10
  5. Step 5: Solve for x
    x = 10,994,288.10/3,489.52
  6. Step 6: Final answer
    x = 3,150.66

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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.