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Finding the Fourth Proportional to 3,796.38, 5,238.88 and 2,224.44

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Solution

The fourth proportional to 3,796.38, 5,238.88 and 2,224.44 is: 3,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.38 : 5,238.88 = 2,224.44 : x
  2. Step 2: Convert to fraction form
    3,796.38/5,238.88 = 2,224.44/x
  3. Step 3: Cross multiply
    3,796.38x = 5,238.88 × 2,224.44
  4. Step 4: Simplify right side
    3,796.38x = 11,653,568.67
  5. Step 5: Solve for x
    x = 11,653,568.67/3,796.38
  6. Step 6: Final answer
    x = 3,069.65

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Half 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.