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Finding the Fourth Proportional to 3,796.96, 5,238.96 and 2,224.96

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Solution

The fourth proportional to 3,796.96, 5,238.96 and 2,224.96 is: 3,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.96 : 5,238.96 = 2,224.96 : x
  2. Step 2: Convert to fraction form
    3,796.96/5,238.96 = 2,224.96/x
  3. Step 3: Cross multiply
    3,796.96x = 5,238.96 × 2,224.96
  4. Step 4: Simplify right side
    3,796.96x = 11,656,476.44
  5. Step 5: Solve for x
    x = 11,656,476.44/3,796.96
  6. Step 6: Final answer
    x = 3,069.95

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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.