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Finding the Fourth Proportional to 3,947.05, 5,446.74 and 2,178.82

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Solution

The fourth proportional to 3,947.05, 5,446.74 and 2,178.82 is: 3,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.05 : 5,446.74 = 2,178.82 : x
  2. Step 2: Convert to fraction form
    3,947.05/5,446.74 = 2,178.82/x
  3. Step 3: Cross multiply
    3,947.05x = 5,446.74 × 2,178.82
  4. Step 4: Simplify right side
    3,947.05x = 11,867,466.05
  5. Step 5: Solve for x
    x = 11,867,466.05/3,947.05
  6. Step 6: Final answer
    x = 3,006.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.