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Finding the Fourth Proportional to 5,414.80, 8,122.20 and 4,799.20

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Solution

The fourth proportional to 5,414.80, 8,122.20 and 4,799.20 is: 7,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.80 : 8,122.20 = 4,799.20 : x
  2. Step 2: Convert to fraction form
    5,414.80/8,122.20 = 4,799.20/x
  3. Step 3: Cross multiply
    5,414.80x = 8,122.20 × 4,799.20
  4. Step 4: Simplify right side
    5,414.80x = 38,980,062.24
  5. Step 5: Solve for x
    x = 38,980,062.24/5,414.80
  6. Step 6: Final answer
    x = 7,198.80

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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.