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Finding the Fourth Proportional to 5,644.56, 7,789.59 and 3,286.65

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Solution

The fourth proportional to 5,644.56, 7,789.59 and 3,286.65 is: 4,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.56 : 7,789.59 = 3,286.65 : x
  2. Step 2: Convert to fraction form
    5,644.56/7,789.59 = 3,286.65/x
  3. Step 3: Cross multiply
    5,644.56x = 7,789.59 × 3,286.65
  4. Step 4: Simplify right side
    5,644.56x = 25,601,655.97
  5. Step 5: Solve for x
    x = 25,601,655.97/5,644.56
  6. Step 6: Final answer
    x = 4,535.63

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1.5x scale

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.