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Finding the Fourth Proportional to 5,194.24, 7,791.12 and 1,298.68

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Solution

The fourth proportional to 5,194.24, 7,791.12 and 1,298.68 is: 1,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.24 : 7,791.12 = 1,298.68 : x
  2. Step 2: Convert to fraction form
    5,194.24/7,791.12 = 1,298.68/x
  3. Step 3: Cross multiply
    5,194.24x = 7,791.12 × 1,298.68
  4. Step 4: Simplify right side
    5,194.24x = 10,118,171.72
  5. Step 5: Solve for x
    x = 10,118,171.72/5,194.24
  6. Step 6: Final answer
    x = 1,947.96

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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.