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Finding the Fourth Proportional to 5,191.28, 7,791.28 and 2,115.44

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Solution

The fourth proportional to 5,191.28, 7,791.28 and 2,115.44 is: 3,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.28 : 7,791.28 = 2,115.44 : x
  2. Step 2: Convert to fraction form
    5,191.28/7,791.28 = 2,115.44/x
  3. Step 3: Cross multiply
    5,191.28x = 7,791.28 × 2,115.44
  4. Step 4: Simplify right side
    5,191.28x = 16,481,985.36
  5. Step 5: Solve for x
    x = 16,481,985.36/5,191.28
  6. Step 6: Final answer
    x = 3,174.94

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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.