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Finding the Fourth Proportional to 5,489.40, 8,229.84 and 2,855.76

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Solution

The fourth proportional to 5,489.40, 8,229.84 and 2,855.76 is: 4,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.40 : 8,229.84 = 2,855.76 : x
  2. Step 2: Convert to fraction form
    5,489.40/8,229.84 = 2,855.76/x
  3. Step 3: Cross multiply
    5,489.40x = 8,229.84 × 2,855.76
  4. Step 4: Simplify right side
    5,489.40x = 23,502,447.88
  5. Step 5: Solve for x
    x = 23,502,447.88/5,489.40
  6. Step 6: Final answer
    x = 4,281.42

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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.