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Finding the Fourth Proportional to 4,902.67, 6,766.67 and 2,914.33

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Solution

The fourth proportional to 4,902.67, 6,766.67 and 2,914.33 is: 4,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.67 : 6,766.67 = 2,914.33 : x
  2. Step 2: Convert to fraction form
    4,902.67/6,766.67 = 2,914.33/x
  3. Step 3: Cross multiply
    4,902.67x = 6,766.67 × 2,914.33
  4. Step 4: Simplify right side
    4,902.67x = 19,720,309.38
  5. Step 5: Solve for x
    x = 19,720,309.38/4,902.67
  6. Step 6: Final answer
    x = 4,022.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.