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Finding the Fourth Proportional to 4,906.92, 6,771.70 and 2,668.96

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Solution

The fourth proportional to 4,906.92, 6,771.70 and 2,668.96 is: 3,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.92 : 6,771.70 = 2,668.96 : x
  2. Step 2: Convert to fraction form
    4,906.92/6,771.70 = 2,668.96/x
  3. Step 3: Cross multiply
    4,906.92x = 6,771.70 × 2,668.96
  4. Step 4: Simplify right side
    4,906.92x = 18,073,396.43
  5. Step 5: Solve for x
    x = 18,073,396.43/4,906.92
  6. Step 6: Final answer
    x = 3,683.25

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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.