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Finding the Fourth Proportional to 3,822.40, 5,274.72 and 2,249.92

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Solution

The fourth proportional to 3,822.40, 5,274.72 and 2,249.92 is: 3,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.40 : 5,274.72 = 2,249.92 : x
  2. Step 2: Convert to fraction form
    3,822.40/5,274.72 = 2,249.92/x
  3. Step 3: Cross multiply
    3,822.40x = 5,274.72 × 2,249.92
  4. Step 4: Simplify right side
    3,822.40x = 11,867,698.02
  5. Step 5: Solve for x
    x = 11,867,698.02/3,822.40
  6. Step 6: Final answer
    x = 3,104.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.