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Finding the Fourth Proportional to 5,758, 8,639.88 and 2,638

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Solution

The fourth proportional to 5,758, 8,639.88 and 2,638 is: 3,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 8,639.88 = 2,638 : x
  2. Step 2: Convert to fraction form
    5,758/8,639.88 = 2,638/x
  3. Step 3: Cross multiply
    5,758x = 8,639.88 × 2,638
  4. Step 4: Simplify right side
    5,758x = 22,792,003.44
  5. Step 5: Solve for x
    x = 22,792,003.44/5,758
  6. Step 6: Final answer
    x = 3,958.32

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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.