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Finding the Fourth Proportional to 3,884.92, 5,358.89 and 2,749.31

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Solution

The fourth proportional to 3,884.92, 5,358.89 and 2,749.31 is: 3,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.92 : 5,358.89 = 2,749.31 : x
  2. Step 2: Convert to fraction form
    3,884.92/5,358.89 = 2,749.31/x
  3. Step 3: Cross multiply
    3,884.92x = 5,358.89 × 2,749.31
  4. Step 4: Simplify right side
    3,884.92x = 14,733,249.87
  5. Step 5: Solve for x
    x = 14,733,249.87/3,884.92
  6. Step 6: Final answer
    x = 3,792.42

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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.