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Finding the Fourth Proportional to 3,906.50, 5,859.30 and 984.60

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Solution

The fourth proportional to 3,906.50, 5,859.30 and 984.60 is: 1,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.50 : 5,859.30 = 984.60 : x
  2. Step 2: Convert to fraction form
    3,906.50/5,859.30 = 984.60/x
  3. Step 3: Cross multiply
    3,906.50x = 5,859.30 × 984.60
  4. Step 4: Simplify right side
    3,906.50x = 5,769,066.78
  5. Step 5: Solve for x
    x = 5,769,066.78/3,906.50
  6. Step 6: Final answer
    x = 1,476.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.