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Finding the Fourth Proportional to 3,892.44, 5,832.56 and 2,249.76

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Solution

The fourth proportional to 3,892.44, 5,832.56 and 2,249.76 is: 3,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.44 : 5,832.56 = 2,249.76 : x
  2. Step 2: Convert to fraction form
    3,892.44/5,832.56 = 2,249.76/x
  3. Step 3: Cross multiply
    3,892.44x = 5,832.56 × 2,249.76
  4. Step 4: Simplify right side
    3,892.44x = 13,121,860.19
  5. Step 5: Solve for x
    x = 13,121,860.19/3,892.44
  6. Step 6: Final answer
    x = 3,371.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.