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Finding the Fourth Proportional to 5,791.57, 7,992.65 and 3,273.77

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Solution

The fourth proportional to 5,791.57, 7,992.65 and 3,273.77 is: 4,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.57 : 7,992.65 = 3,273.77 : x
  2. Step 2: Convert to fraction form
    5,791.57/7,992.65 = 3,273.77/x
  3. Step 3: Cross multiply
    5,791.57x = 7,992.65 × 3,273.77
  4. Step 4: Simplify right side
    5,791.57x = 26,166,125.96
  5. Step 5: Solve for x
    x = 26,166,125.96/5,791.57
  6. Step 6: Final answer
    x = 4,517.97

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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.