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Finding the Fourth Proportional to 3,522.96, 4,863.96 and 2,197.20

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Solution

The fourth proportional to 3,522.96, 4,863.96 and 2,197.20 is: 3,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.96 : 4,863.96 = 2,197.20 : x
  2. Step 2: Convert to fraction form
    3,522.96/4,863.96 = 2,197.20/x
  3. Step 3: Cross multiply
    3,522.96x = 4,863.96 × 2,197.20
  4. Step 4: Simplify right side
    3,522.96x = 10,687,092.91
  5. Step 5: Solve for x
    x = 10,687,092.91/3,522.96
  6. Step 6: Final answer
    x = 3,033.55

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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.