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Finding the Fourth Proportional to 5,489.49, 8,238.52 and 2,204.74

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Solution

The fourth proportional to 5,489.49, 8,238.52 and 2,204.74 is: 3,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.49 : 8,238.52 = 2,204.74 : x
  2. Step 2: Convert to fraction form
    5,489.49/8,238.52 = 2,204.74/x
  3. Step 3: Cross multiply
    5,489.49x = 8,238.52 × 2,204.74
  4. Step 4: Simplify right side
    5,489.49x = 18,163,753.39
  5. Step 5: Solve for x
    x = 18,163,753.39/5,489.49
  6. Step 6: Final answer
    x = 3,308.82

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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.