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Finding the Fourth Proportional to 3,791.75, 5,682.97 and 1,711.17

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Solution

The fourth proportional to 3,791.75, 5,682.97 and 1,711.17 is: 2,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.75 : 5,682.97 = 1,711.17 : x
  2. Step 2: Convert to fraction form
    3,791.75/5,682.97 = 1,711.17/x
  3. Step 3: Cross multiply
    3,791.75x = 5,682.97 × 1,711.17
  4. Step 4: Simplify right side
    3,791.75x = 9,724,523.50
  5. Step 5: Solve for x
    x = 9,724,523.50/3,791.75
  6. Step 6: Final answer
    x = 2,564.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.