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Finding the Fourth Proportional to 3,589.56, 4,951.50 and 2,262.78

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Solution

The fourth proportional to 3,589.56, 4,951.50 and 2,262.78 is: 3,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.56 : 4,951.50 = 2,262.78 : x
  2. Step 2: Convert to fraction form
    3,589.56/4,951.50 = 2,262.78/x
  3. Step 3: Cross multiply
    3,589.56x = 4,951.50 × 2,262.78
  4. Step 4: Simplify right side
    3,589.56x = 11,204,155.17
  5. Step 5: Solve for x
    x = 11,204,155.17/3,589.56
  6. Step 6: Final answer
    x = 3,121.32

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Why These Related Problems?

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