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Finding the Fourth Proportional to 4,121.27, 6,181.27 and 1,347.97

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Solution

The fourth proportional to 4,121.27, 6,181.27 and 1,347.97 is: 2,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.27 : 6,181.27 = 1,347.97 : x
  2. Step 2: Convert to fraction form
    4,121.27/6,181.27 = 1,347.97/x
  3. Step 3: Cross multiply
    4,121.27x = 6,181.27 × 1,347.97
  4. Step 4: Simplify right side
    4,121.27x = 8,332,166.52
  5. Step 5: Solve for x
    x = 8,332,166.52/4,121.27
  6. Step 6: Final answer
    x = 2,021.75

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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.