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Finding the Fourth Proportional to 4,696.67, 6,481.41 and 2,600.75

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Solution

The fourth proportional to 4,696.67, 6,481.41 and 2,600.75 is: 3,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.67 : 6,481.41 = 2,600.75 : x
  2. Step 2: Convert to fraction form
    4,696.67/6,481.41 = 2,600.75/x
  3. Step 3: Cross multiply
    4,696.67x = 6,481.41 × 2,600.75
  4. Step 4: Simplify right side
    4,696.67x = 16,856,527.06
  5. Step 5: Solve for x
    x = 16,856,527.06/4,696.67
  6. Step 6: Final answer
    x = 3,589.04

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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.