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Finding the Fourth Proportional to 3,965.68, 5,472.12 and 2,264.14

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Solution

The fourth proportional to 3,965.68, 5,472.12 and 2,264.14 is: 3,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.68 : 5,472.12 = 2,264.14 : x
  2. Step 2: Convert to fraction form
    3,965.68/5,472.12 = 2,264.14/x
  3. Step 3: Cross multiply
    3,965.68x = 5,472.12 × 2,264.14
  4. Step 4: Simplify right side
    3,965.68x = 12,389,645.78
  5. Step 5: Solve for x
    x = 12,389,645.78/3,965.68
  6. Step 6: Final answer
    x = 3,124.22

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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.