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Finding the Fourth Proportional to 5,959.92, 8,221.27 and 3,717.90

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Solution

The fourth proportional to 5,959.92, 8,221.27 and 3,717.90 is: 5,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.92 : 8,221.27 = 3,717.90 : x
  2. Step 2: Convert to fraction form
    5,959.92/8,221.27 = 3,717.90/x
  3. Step 3: Cross multiply
    5,959.92x = 8,221.27 × 3,717.90
  4. Step 4: Simplify right side
    5,959.92x = 30,565,859.73
  5. Step 5: Solve for x
    x = 30,565,859.73/5,959.92
  6. Step 6: Final answer
    x = 5,128.57

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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.