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Finding the Fourth Proportional to 4,757.67, 6,567.89 and 3,166.97

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Solution

The fourth proportional to 4,757.67, 6,567.89 and 3,166.97 is: 4,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.67 : 6,567.89 = 3,166.97 : x
  2. Step 2: Convert to fraction form
    4,757.67/6,567.89 = 3,166.97/x
  3. Step 3: Cross multiply
    4,757.67x = 6,567.89 × 3,166.97
  4. Step 4: Simplify right side
    4,757.67x = 20,800,261.92
  5. Step 5: Solve for x
    x = 20,800,261.92/4,757.67
  6. Step 6: Final answer
    x = 4,371.94

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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.