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Finding the Fourth Proportional to 3,947.06, 5,446.64 and 2,178.66

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Solution

The fourth proportional to 3,947.06, 5,446.64 and 2,178.66 is: 3,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.06 : 5,446.64 = 2,178.66 : x
  2. Step 2: Convert to fraction form
    3,947.06/5,446.64 = 2,178.66/x
  3. Step 3: Cross multiply
    3,947.06x = 5,446.64 × 2,178.66
  4. Step 4: Simplify right side
    3,947.06x = 11,866,376.70
  5. Step 5: Solve for x
    x = 11,866,376.70/3,947.06
  6. Step 6: Final answer
    x = 3,006.38

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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.