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Finding the Fourth Proportional to 4,138.22, 5,710.74 and 2,249.84

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Solution

The fourth proportional to 4,138.22, 5,710.74 and 2,249.84 is: 3,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.22 : 5,710.74 = 2,249.84 : x
  2. Step 2: Convert to fraction form
    4,138.22/5,710.74 = 2,249.84/x
  3. Step 3: Cross multiply
    4,138.22x = 5,710.74 × 2,249.84
  4. Step 4: Simplify right side
    4,138.22x = 12,848,251.28
  5. Step 5: Solve for x
    x = 12,848,251.28/4,138.22
  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.