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Finding the Fourth Proportional to 3,440.92, 5,161.32 and 2,398

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Solution

The fourth proportional to 3,440.92, 5,161.32 and 2,398 is: 3,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.92 : 5,161.32 = 2,398 : x
  2. Step 2: Convert to fraction form
    3,440.92/5,161.32 = 2,398/x
  3. Step 3: Cross multiply
    3,440.92x = 5,161.32 × 2,398
  4. Step 4: Simplify right side
    3,440.92x = 12,376,845.36
  5. Step 5: Solve for x
    x = 12,376,845.36/3,440.92
  6. Step 6: Final answer
    x = 3,596.96

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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.