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Finding the Fourth Proportional to 3,791.53, 5,233.17 and 2,462.92

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Solution

The fourth proportional to 3,791.53, 5,233.17 and 2,462.92 is: 3,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.53 : 5,233.17 = 2,462.92 : x
  2. Step 2: Convert to fraction form
    3,791.53/5,233.17 = 2,462.92/x
  3. Step 3: Cross multiply
    3,791.53x = 5,233.17 × 2,462.92
  4. Step 4: Simplify right side
    3,791.53x = 12,888,879.06
  5. Step 5: Solve for x
    x = 12,888,879.06/3,791.53
  6. Step 6: Final answer
    x = 3,399.39

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1.5x scale

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.