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Finding the Fourth Proportional to 5,791.56, 7,992.09 and 3,273.90

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Solution

The fourth proportional to 5,791.56, 7,992.09 and 3,273.90 is: 4,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.56 : 7,992.09 = 3,273.90 : x
  2. Step 2: Convert to fraction form
    5,791.56/7,992.09 = 3,273.90/x
  3. Step 3: Cross multiply
    5,791.56x = 7,992.09 × 3,273.90
  4. Step 4: Simplify right side
    5,791.56x = 26,165,303.45
  5. Step 5: Solve for x
    x = 26,165,303.45/5,791.56
  6. Step 6: Final answer
    x = 4,517.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.