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Finding the Fourth Proportional to 5,757.42, 8,629.02 and 2,982.49

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Solution

The fourth proportional to 5,757.42, 8,629.02 and 2,982.49 is: 4,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.42 : 8,629.02 = 2,982.49 : x
  2. Step 2: Convert to fraction form
    5,757.42/8,629.02 = 2,982.49/x
  3. Step 3: Cross multiply
    5,757.42x = 8,629.02 × 2,982.49
  4. Step 4: Simplify right side
    5,757.42x = 25,735,976.65
  5. Step 5: Solve for x
    x = 25,735,976.65/5,757.42
  6. Step 6: Final answer
    x = 4,470.06

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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.