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Finding the Fourth Proportional to 5,489.90, 8,232.45 and 2,201.90

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Solution

The fourth proportional to 5,489.90, 8,232.45 and 2,201.90 is: 3,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.90 : 8,232.45 = 2,201.90 : x
  2. Step 2: Convert to fraction form
    5,489.90/8,232.45 = 2,201.90/x
  3. Step 3: Cross multiply
    5,489.90x = 8,232.45 × 2,201.90
  4. Step 4: Simplify right side
    5,489.90x = 18,127,031.66
  5. Step 5: Solve for x
    x = 18,127,031.66/5,489.90
  6. Step 6: Final answer
    x = 3,301.89

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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.