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Finding the Fourth Proportional to 3,965.65, 5,472.29 and 2,197.22

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Solution

The fourth proportional to 3,965.65, 5,472.29 and 2,197.22 is: 3,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.65 : 5,472.29 = 2,197.22 : x
  2. Step 2: Convert to fraction form
    3,965.65/5,472.29 = 2,197.22/x
  3. Step 3: Cross multiply
    3,965.65x = 5,472.29 × 2,197.22
  4. Step 4: Simplify right side
    3,965.65x = 12,023,803.17
  5. Step 5: Solve for x
    x = 12,023,803.17/3,965.65
  6. Step 6: Final answer
    x = 3,031.99

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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.