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Finding the Fourth Proportional to 3,711.88, 5,126.22 and 3,212.12

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Solution

The fourth proportional to 3,711.88, 5,126.22 and 3,212.12 is: 4,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.88 : 5,126.22 = 3,212.12 : x
  2. Step 2: Convert to fraction form
    3,711.88/5,126.22 = 3,212.12/x
  3. Step 3: Cross multiply
    3,711.88x = 5,126.22 × 3,212.12
  4. Step 4: Simplify right side
    3,711.88x = 16,466,033.79
  5. Step 5: Solve for x
    x = 16,466,033.79/3,711.88
  6. Step 6: Final answer
    x = 4,436.04

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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.