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Finding the Fourth Proportional to 4,978.80, 7,469.22 and 4,162.78

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Solution

The fourth proportional to 4,978.80, 7,469.22 and 4,162.78 is: 6,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.80 : 7,469.22 = 4,162.78 : x
  2. Step 2: Convert to fraction form
    4,978.80/7,469.22 = 4,162.78/x
  3. Step 3: Cross multiply
    4,978.80x = 7,469.22 × 4,162.78
  4. Step 4: Simplify right side
    4,978.80x = 31,092,702.56
  5. Step 5: Solve for x
    x = 31,092,702.56/4,978.80
  6. Step 6: Final answer
    x = 6,245.02

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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.