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Finding the Fourth Proportional to 3,965.67, 5,472 and 2,197.22

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Solution

The fourth proportional to 3,965.67, 5,472 and 2,197.22 is: 3,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.67 : 5,472 = 2,197.22 : x
  2. Step 2: Convert to fraction form
    3,965.67/5,472 = 2,197.22/x
  3. Step 3: Cross multiply
    3,965.67x = 5,472 × 2,197.22
  4. Step 4: Simplify right side
    3,965.67x = 12,023,160.48
  5. Step 5: Solve for x
    x = 12,023,160.48/3,965.67
  6. Step 6: Final answer
    x = 3,031.81

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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.