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Finding the Fourth Proportional to 3,846.92, 5,771.25 and 1,348.20

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Solution

The fourth proportional to 3,846.92, 5,771.25 and 1,348.20 is: 2,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.92 : 5,771.25 = 1,348.20 : x
  2. Step 2: Convert to fraction form
    3,846.92/5,771.25 = 1,348.20/x
  3. Step 3: Cross multiply
    3,846.92x = 5,771.25 × 1,348.20
  4. Step 4: Simplify right side
    3,846.92x = 7,780,799.25
  5. Step 5: Solve for x
    x = 7,780,799.25/3,846.92
  6. Step 6: Final answer
    x = 2,022.61

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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.