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Finding the Fourth Proportional to 3,791.48, 5,687.84 and 1,193.81

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Solution

The fourth proportional to 3,791.48, 5,687.84 and 1,193.81 is: 1,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.48 : 5,687.84 = 1,193.81 : x
  2. Step 2: Convert to fraction form
    3,791.48/5,687.84 = 1,193.81/x
  3. Step 3: Cross multiply
    3,791.48x = 5,687.84 × 1,193.81
  4. Step 4: Simplify right side
    3,791.48x = 6,790,217.47
  5. Step 5: Solve for x
    x = 6,790,217.47/3,791.48
  6. Step 6: Final answer
    x = 1,790.91

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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.