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Finding the Fourth Proportional to 3,911.68, 5,398 and 2,143.23

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Solution

The fourth proportional to 3,911.68, 5,398 and 2,143.23 is: 2,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.68 : 5,398 = 2,143.23 : x
  2. Step 2: Convert to fraction form
    3,911.68/5,398 = 2,143.23/x
  3. Step 3: Cross multiply
    3,911.68x = 5,398 × 2,143.23
  4. Step 4: Simplify right side
    3,911.68x = 11,569,155.54
  5. Step 5: Solve for x
    x = 11,569,155.54/3,911.68
  6. Step 6: Final answer
    x = 2,957.59

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Why These Related Problems?

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