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Finding the Fourth Proportional to 3,912.54, 5,861.61 and 1,964.70

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Solution

The fourth proportional to 3,912.54, 5,861.61 and 1,964.70 is: 2,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.54 : 5,861.61 = 1,964.70 : x
  2. Step 2: Convert to fraction form
    3,912.54/5,861.61 = 1,964.70/x
  3. Step 3: Cross multiply
    3,912.54x = 5,861.61 × 1,964.70
  4. Step 4: Simplify right side
    3,912.54x = 11,516,305.17
  5. Step 5: Solve for x
    x = 11,516,305.17/3,912.54
  6. Step 6: Final answer
    x = 2,943.43

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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.