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Finding the Fourth Proportional to 3,744.12, 5,167.18 and 2,065.68

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Solution

The fourth proportional to 3,744.12, 5,167.18 and 2,065.68 is: 2,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.12 : 5,167.18 = 2,065.68 : x
  2. Step 2: Convert to fraction form
    3,744.12/5,167.18 = 2,065.68/x
  3. Step 3: Cross multiply
    3,744.12x = 5,167.18 × 2,065.68
  4. Step 4: Simplify right side
    3,744.12x = 10,673,740.38
  5. Step 5: Solve for x
    x = 10,673,740.38/3,744.12
  6. Step 6: Final answer
    x = 2,850.80

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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.