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Finding the Fourth Proportional to 5,965.70, 8,947.31 and 2,266.63

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Solution

The fourth proportional to 5,965.70, 8,947.31 and 2,266.63 is: 3,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.70 : 8,947.31 = 2,266.63 : x
  2. Step 2: Convert to fraction form
    5,965.70/8,947.31 = 2,266.63/x
  3. Step 3: Cross multiply
    5,965.70x = 8,947.31 × 2,266.63
  4. Step 4: Simplify right side
    5,965.70x = 20,280,207.56
  5. Step 5: Solve for x
    x = 20,280,207.56/5,965.70
  6. Step 6: Final answer
    x = 3,399.47

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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.