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Finding the Fourth Proportional to 5,966.37, 8,947.02 and 2,266.56

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Solution

The fourth proportional to 5,966.37, 8,947.02 and 2,266.56 is: 3,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.37 : 8,947.02 = 2,266.56 : x
  2. Step 2: Convert to fraction form
    5,966.37/8,947.02 = 2,266.56/x
  3. Step 3: Cross multiply
    5,966.37x = 8,947.02 × 2,266.56
  4. Step 4: Simplify right side
    5,966.37x = 20,278,957.65
  5. Step 5: Solve for x
    x = 20,278,957.65/5,966.37
  6. Step 6: Final answer
    x = 3,398.88

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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.