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Finding the Fourth Proportional to 3,964.70, 5,947.73 and 1,367.03

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Solution

The fourth proportional to 3,964.70, 5,947.73 and 1,367.03 is: 2,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.70 : 5,947.73 = 1,367.03 : x
  2. Step 2: Convert to fraction form
    3,964.70/5,947.73 = 1,367.03/x
  3. Step 3: Cross multiply
    3,964.70x = 5,947.73 × 1,367.03
  4. Step 4: Simplify right side
    3,964.70x = 8,130,725.34
  5. Step 5: Solve for x
    x = 8,130,725.34/3,964.70
  6. Step 6: Final answer
    x = 2,050.78

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