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Finding the Fourth Proportional to 5,194.11, 7,791.17 and 1,298.55

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Solution

The fourth proportional to 5,194.11, 7,791.17 and 1,298.55 is: 1,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.11 : 7,791.17 = 1,298.55 : x
  2. Step 2: Convert to fraction form
    5,194.11/7,791.17 = 1,298.55/x
  3. Step 3: Cross multiply
    5,194.11x = 7,791.17 × 1,298.55
  4. Step 4: Simplify right side
    5,194.11x = 10,117,217.31
  5. Step 5: Solve for x
    x = 10,117,217.31/5,194.11
  6. Step 6: Final answer
    x = 1,947.83

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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.