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Finding the Fourth Proportional to 3,744.71, 5,167.92 and 2,066.49

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Solution

The fourth proportional to 3,744.71, 5,167.92 and 2,066.49 is: 2,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.71 : 5,167.92 = 2,066.49 : x
  2. Step 2: Convert to fraction form
    3,744.71/5,167.92 = 2,066.49/x
  3. Step 3: Cross multiply
    3,744.71x = 5,167.92 × 2,066.49
  4. Step 4: Simplify right side
    3,744.71x = 10,679,482.13
  5. Step 5: Solve for x
    x = 10,679,482.13/3,744.71
  6. Step 6: Final answer
    x = 2,851.88

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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.