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Finding the Fourth Proportional to 3,906.52, 5,389.66 and 2,414.76

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Solution

The fourth proportional to 3,906.52, 5,389.66 and 2,414.76 is: 3,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.52 : 5,389.66 = 2,414.76 : x
  2. Step 2: Convert to fraction form
    3,906.52/5,389.66 = 2,414.76/x
  3. Step 3: Cross multiply
    3,906.52x = 5,389.66 × 2,414.76
  4. Step 4: Simplify right side
    3,906.52x = 13,014,735.38
  5. Step 5: Solve for x
    x = 13,014,735.38/3,906.52
  6. Step 6: Final answer
    x = 3,331.54

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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.