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Finding the Fourth Proportional to 4,601.45, 6,351.23 and 2,834.54

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Solution

The fourth proportional to 4,601.45, 6,351.23 and 2,834.54 is: 3,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.45 : 6,351.23 = 2,834.54 : x
  2. Step 2: Convert to fraction form
    4,601.45/6,351.23 = 2,834.54/x
  3. Step 3: Cross multiply
    4,601.45x = 6,351.23 × 2,834.54
  4. Step 4: Simplify right side
    4,601.45x = 18,002,769.56
  5. Step 5: Solve for x
    x = 18,002,769.56/4,601.45
  6. Step 6: Final answer
    x = 3,912.42

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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.