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Finding the Fourth Proportional to 3,738.68, 5,159.24 and 2,144.24

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Solution

The fourth proportional to 3,738.68, 5,159.24 and 2,144.24 is: 2,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.68 : 5,159.24 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    3,738.68/5,159.24 = 2,144.24/x
  3. Step 3: Cross multiply
    3,738.68x = 5,159.24 × 2,144.24
  4. Step 4: Simplify right side
    3,738.68x = 11,062,628.34
  5. Step 5: Solve for x
    x = 11,062,628.34/3,738.68
  6. Step 6: Final answer
    x = 2,958.96

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Double scale
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Similar ratio
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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.