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Finding the Fourth Proportional to 5,744.76, 7,927.84 and 3,227.42

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Solution

The fourth proportional to 5,744.76, 7,927.84 and 3,227.42 is: 4,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.76 : 7,927.84 = 3,227.42 : x
  2. Step 2: Convert to fraction form
    5,744.76/7,927.84 = 3,227.42/x
  3. Step 3: Cross multiply
    5,744.76x = 7,927.84 × 3,227.42
  4. Step 4: Simplify right side
    5,744.76x = 25,586,469.37
  5. Step 5: Solve for x
    x = 25,586,469.37/5,744.76
  6. Step 6: Final answer
    x = 4,453.88

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Half scale
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Double scale
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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.