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Finding the Fourth Proportional to 4,766.38, 7,150.92 and 2,576.68

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Solution

The fourth proportional to 4,766.38, 7,150.92 and 2,576.68 is: 3,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.38 : 7,150.92 = 2,576.68 : x
  2. Step 2: Convert to fraction form
    4,766.38/7,150.92 = 2,576.68/x
  3. Step 3: Cross multiply
    4,766.38x = 7,150.92 × 2,576.68
  4. Step 4: Simplify right side
    4,766.38x = 18,425,632.55
  5. Step 5: Solve for x
    x = 18,425,632.55/4,766.38
  6. Step 6: Final answer
    x = 3,865.75

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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.