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Finding the Fourth Proportional to 5,004.92, 6,906.19 and 2,766.49

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Solution

The fourth proportional to 5,004.92, 6,906.19 and 2,766.49 is: 3,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.92 : 6,906.19 = 2,766.49 : x
  2. Step 2: Convert to fraction form
    5,004.92/6,906.19 = 2,766.49/x
  3. Step 3: Cross multiply
    5,004.92x = 6,906.19 × 2,766.49
  4. Step 4: Simplify right side
    5,004.92x = 19,105,905.57
  5. Step 5: Solve for x
    x = 19,105,905.57/5,004.92
  6. Step 6: Final answer
    x = 3,817.42

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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.