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Finding the Fourth Proportional to 5,198.40, 7,792.20 and 2,854.80

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Solution

The fourth proportional to 5,198.40, 7,792.20 and 2,854.80 is: 4,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.40 : 7,792.20 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    5,198.40/7,792.20 = 2,854.80/x
  3. Step 3: Cross multiply
    5,198.40x = 7,792.20 × 2,854.80
  4. Step 4: Simplify right side
    5,198.40x = 22,245,172.56
  5. Step 5: Solve for x
    x = 22,245,172.56/5,198.40
  6. Step 6: Final answer
    x = 4,279.23

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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.