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Finding the Fourth Proportional to 5,193.54, 7,791.96 and 2,230.56

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Solution

The fourth proportional to 5,193.54, 7,791.96 and 2,230.56 is: 3,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.54 : 7,791.96 = 2,230.56 : x
  2. Step 2: Convert to fraction form
    5,193.54/7,791.96 = 2,230.56/x
  3. Step 3: Cross multiply
    5,193.54x = 7,791.96 × 2,230.56
  4. Step 4: Simplify right side
    5,193.54x = 17,380,434.30
  5. Step 5: Solve for x
    x = 17,380,434.30/5,193.54
  6. Step 6: Final answer
    x = 3,346.55

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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.