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Finding the Fourth Proportional to 5,753.28, 7,934.97 and 3,734.49

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Solution

The fourth proportional to 5,753.28, 7,934.97 and 3,734.49 is: 5,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.28 : 7,934.97 = 3,734.49 : x
  2. Step 2: Convert to fraction form
    5,753.28/7,934.97 = 3,734.49/x
  3. Step 3: Cross multiply
    5,753.28x = 7,934.97 × 3,734.49
  4. Step 4: Simplify right side
    5,753.28x = 29,633,047.44
  5. Step 5: Solve for x
    x = 29,633,047.44/5,753.28
  6. Step 6: Final answer
    x = 5,150.64

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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.