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Finding the Fourth Proportional to 3,744.14, 5,167.22 and 2,065.91

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Solution

The fourth proportional to 3,744.14, 5,167.22 and 2,065.91 is: 2,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.14 : 5,167.22 = 2,065.91 : x
  2. Step 2: Convert to fraction form
    3,744.14/5,167.22 = 2,065.91/x
  3. Step 3: Cross multiply
    3,744.14x = 5,167.22 × 2,065.91
  4. Step 4: Simplify right side
    3,744.14x = 10,674,975.30
  5. Step 5: Solve for x
    x = 10,674,975.30/3,744.14
  6. Step 6: Final answer
    x = 2,851.12

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