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Finding the Fourth Proportional to 3,738.68, 5,159.38 and 2,167.70

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Solution

The fourth proportional to 3,738.68, 5,159.38 and 2,167.70 is: 2,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.68 : 5,159.38 = 2,167.70 : x
  2. Step 2: Convert to fraction form
    3,738.68/5,159.38 = 2,167.70/x
  3. Step 3: Cross multiply
    3,738.68x = 5,159.38 × 2,167.70
  4. Step 4: Simplify right side
    3,738.68x = 11,183,988.03
  5. Step 5: Solve for x
    x = 11,183,988.03/3,738.68
  6. Step 6: Final answer
    x = 2,991.43

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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.