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Finding the Fourth Proportional to 4,489.46, 6,729.78 and 2,148.80

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Solution

The fourth proportional to 4,489.46, 6,729.78 and 2,148.80 is: 3,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.46 : 6,729.78 = 2,148.80 : x
  2. Step 2: Convert to fraction form
    4,489.46/6,729.78 = 2,148.80/x
  3. Step 3: Cross multiply
    4,489.46x = 6,729.78 × 2,148.80
  4. Step 4: Simplify right side
    4,489.46x = 14,460,951.26
  5. Step 5: Solve for x
    x = 14,460,951.26/4,489.46
  6. Step 6: Final answer
    x = 3,221.09

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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.