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Finding the Fourth Proportional to 4,747.90, 7,120.02 and 3,282.61

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Solution

The fourth proportional to 4,747.90, 7,120.02 and 3,282.61 is: 4,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.90 : 7,120.02 = 3,282.61 : x
  2. Step 2: Convert to fraction form
    4,747.90/7,120.02 = 3,282.61/x
  3. Step 3: Cross multiply
    4,747.90x = 7,120.02 × 3,282.61
  4. Step 4: Simplify right side
    4,747.90x = 23,372,248.85
  5. Step 5: Solve for x
    x = 23,372,248.85/4,747.90
  6. Step 6: Final answer
    x = 4,922.65

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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.