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Finding the Fourth Proportional to 3,906.46, 5,863.74 and 2,266.22

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Solution

The fourth proportional to 3,906.46, 5,863.74 and 2,266.22 is: 3,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.46 : 5,863.74 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    3,906.46/5,863.74 = 2,266.22/x
  3. Step 3: Cross multiply
    3,906.46x = 5,863.74 × 2,266.22
  4. Step 4: Simplify right side
    3,906.46x = 13,288,524.86
  5. Step 5: Solve for x
    x = 13,288,524.86/3,906.46
  6. Step 6: Final answer
    x = 3,401.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.