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Finding the Fourth Proportional to 3,428.06, 5,144.14 and 3,149.22

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Solution

The fourth proportional to 3,428.06, 5,144.14 and 3,149.22 is: 4,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.06 : 5,144.14 = 3,149.22 : x
  2. Step 2: Convert to fraction form
    3,428.06/5,144.14 = 3,149.22/x
  3. Step 3: Cross multiply
    3,428.06x = 5,144.14 × 3,149.22
  4. Step 4: Simplify right side
    3,428.06x = 16,200,022.86
  5. Step 5: Solve for x
    x = 16,200,022.86/3,428.06
  6. Step 6: Final answer
    x = 4,725.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.