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Finding the Fourth Proportional to 4,626.96, 6,947.67 and 2,680.50

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Solution

The fourth proportional to 4,626.96, 6,947.67 and 2,680.50 is: 4,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.96 : 6,947.67 = 2,680.50 : x
  2. Step 2: Convert to fraction form
    4,626.96/6,947.67 = 2,680.50/x
  3. Step 3: Cross multiply
    4,626.96x = 6,947.67 × 2,680.50
  4. Step 4: Simplify right side
    4,626.96x = 18,623,229.44
  5. Step 5: Solve for x
    x = 18,623,229.44/4,626.96
  6. Step 6: Final answer
    x = 4,024.94

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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.