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Finding the Fourth Proportional to 3,906.30, 5,388.75 and 2,908.38

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Solution

The fourth proportional to 3,906.30, 5,388.75 and 2,908.38 is: 4,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.30 : 5,388.75 = 2,908.38 : x
  2. Step 2: Convert to fraction form
    3,906.30/5,388.75 = 2,908.38/x
  3. Step 3: Cross multiply
    3,906.30x = 5,388.75 × 2,908.38
  4. Step 4: Simplify right side
    3,906.30x = 15,672,532.73
  5. Step 5: Solve for x
    x = 15,672,532.73/3,906.30
  6. Step 6: Final answer
    x = 4,012.12

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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.