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Finding the Fourth Proportional to 5,695.97, 8,546.83 and 3,843.19

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Solution

The fourth proportional to 5,695.97, 8,546.83 and 3,843.19 is: 5,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.97 : 8,546.83 = 3,843.19 : x
  2. Step 2: Convert to fraction form
    5,695.97/8,546.83 = 3,843.19/x
  3. Step 3: Cross multiply
    5,695.97x = 8,546.83 × 3,843.19
  4. Step 4: Simplify right side
    5,695.97x = 32,847,079.83
  5. Step 5: Solve for x
    x = 32,847,079.83/5,695.97
  6. Step 6: Final answer
    x = 5,766.73

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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.