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Finding the Fourth Proportional to 5,822.51, 8,034.80 and 3,169.92

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Solution

The fourth proportional to 5,822.51, 8,034.80 and 3,169.92 is: 4,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.51 : 8,034.80 = 3,169.92 : x
  2. Step 2: Convert to fraction form
    5,822.51/8,034.80 = 3,169.92/x
  3. Step 3: Cross multiply
    5,822.51x = 8,034.80 × 3,169.92
  4. Step 4: Simplify right side
    5,822.51x = 25,469,640.97
  5. Step 5: Solve for x
    x = 25,469,640.97/5,822.51
  6. Step 6: Final answer
    x = 4,374.34

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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.