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Finding the Fourth Proportional to 3,947.61, 5,447.75 and 2,179.25

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Solution

The fourth proportional to 3,947.61, 5,447.75 and 2,179.25 is: 3,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.61 : 5,447.75 = 2,179.25 : x
  2. Step 2: Convert to fraction form
    3,947.61/5,447.75 = 2,179.25/x
  3. Step 3: Cross multiply
    3,947.61x = 5,447.75 × 2,179.25
  4. Step 4: Simplify right side
    3,947.61x = 11,871,971.05
  5. Step 5: Solve for x
    x = 11,871,971.05/3,947.61
  6. Step 6: Final answer
    x = 3,007.38

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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.