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Finding the Fourth Proportional to 4,789.67, 7,177.16 and 3,223.88

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Solution

The fourth proportional to 4,789.67, 7,177.16 and 3,223.88 is: 4,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.67 : 7,177.16 = 3,223.88 : x
  2. Step 2: Convert to fraction form
    4,789.67/7,177.16 = 3,223.88/x
  3. Step 3: Cross multiply
    4,789.67x = 7,177.16 × 3,223.88
  4. Step 4: Simplify right side
    4,789.67x = 23,138,250.58
  5. Step 5: Solve for x
    x = 23,138,250.58/4,789.67
  6. Step 6: Final answer
    x = 4,830.87

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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.