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Finding the Fourth Proportional to 3,768.68, 5,205.78 and 3,141.27

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Solution

The fourth proportional to 3,768.68, 5,205.78 and 3,141.27 is: 4,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.68 : 5,205.78 = 3,141.27 : x
  2. Step 2: Convert to fraction form
    3,768.68/5,205.78 = 3,141.27/x
  3. Step 3: Cross multiply
    3,768.68x = 5,205.78 × 3,141.27
  4. Step 4: Simplify right side
    3,768.68x = 16,352,760.54
  5. Step 5: Solve for x
    x = 16,352,760.54/3,768.68
  6. Step 6: Final answer
    x = 4,339.12

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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.