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Finding the Fourth Proportional to 3,796.92, 5,244.92 and 3,213.72

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Solution

The fourth proportional to 3,796.92, 5,244.92 and 3,213.72 is: 4,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.92 : 5,244.92 = 3,213.72 : x
  2. Step 2: Convert to fraction form
    3,796.92/5,244.92 = 3,213.72/x
  3. Step 3: Cross multiply
    3,796.92x = 5,244.92 × 3,213.72
  4. Step 4: Simplify right side
    3,796.92x = 16,855,704.30
  5. Step 5: Solve for x
    x = 16,855,704.30/3,796.92
  6. Step 6: Final answer
    x = 4,439.31

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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.