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Finding the Fourth Proportional to 5,198.46, 7,794.42 and 3,441.57

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Solution

The fourth proportional to 5,198.46, 7,794.42 and 3,441.57 is: 5,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.46 : 7,794.42 = 3,441.57 : x
  2. Step 2: Convert to fraction form
    5,198.46/7,794.42 = 3,441.57/x
  3. Step 3: Cross multiply
    5,198.46x = 7,794.42 × 3,441.57
  4. Step 4: Simplify right side
    5,198.46x = 26,825,042.04
  5. Step 5: Solve for x
    x = 26,825,042.04/5,198.46
  6. Step 6: Final answer
    x = 5,160.19

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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.