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Finding the Fourth Proportional to 4,998.43, 6,898.73 and 2,981.97

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Solution

The fourth proportional to 4,998.43, 6,898.73 and 2,981.97 is: 4,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.43 : 6,898.73 = 2,981.97 : x
  2. Step 2: Convert to fraction form
    4,998.43/6,898.73 = 2,981.97/x
  3. Step 3: Cross multiply
    4,998.43x = 6,898.73 × 2,981.97
  4. Step 4: Simplify right side
    4,998.43x = 20,571,805.90
  5. Step 5: Solve for x
    x = 20,571,805.90/4,998.43
  6. Step 6: Final answer
    x = 4,115.65

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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.