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Finding the Fourth Proportional to 4,601.40, 6,351.14 and 2,834.48

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Solution

The fourth proportional to 4,601.40, 6,351.14 and 2,834.48 is: 3,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.40 : 6,351.14 = 2,834.48 : x
  2. Step 2: Convert to fraction form
    4,601.40/6,351.14 = 2,834.48/x
  3. Step 3: Cross multiply
    4,601.40x = 6,351.14 × 2,834.48
  4. Step 4: Simplify right side
    4,601.40x = 18,002,179.31
  5. Step 5: Solve for x
    x = 18,002,179.31/4,601.40
  6. Step 6: Final answer
    x = 3,912.33

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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.