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Finding the Fourth Proportional to 3,843.45, 5,753.97 and 2,922.75

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Solution

The fourth proportional to 3,843.45, 5,753.97 and 2,922.75 is: 4,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.45 : 5,753.97 = 2,922.75 : x
  2. Step 2: Convert to fraction form
    3,843.45/5,753.97 = 2,922.75/x
  3. Step 3: Cross multiply
    3,843.45x = 5,753.97 × 2,922.75
  4. Step 4: Simplify right side
    3,843.45x = 16,817,415.82
  5. Step 5: Solve for x
    x = 16,817,415.82/3,843.45
  6. Step 6: Final answer
    x = 4,375.60

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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.