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Finding the Fourth Proportional to 4,632, 6,944.24 and 2,682

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Solution

The fourth proportional to 4,632, 6,944.24 and 2,682 is: 4,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632 : 6,944.24 = 2,682 : x
  2. Step 2: Convert to fraction form
    4,632/6,944.24 = 2,682/x
  3. Step 3: Cross multiply
    4,632x = 6,944.24 × 2,682
  4. Step 4: Simplify right side
    4,632x = 18,624,451.68
  5. Step 5: Solve for x
    x = 18,624,451.68/4,632
  6. Step 6: Final answer
    x = 4,020.82

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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.