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Finding the Fourth Proportional to 5,822.42, 8,034.95 and 3,169.82

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Solution

The fourth proportional to 5,822.42, 8,034.95 and 3,169.82 is: 4,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.42 : 8,034.95 = 3,169.82 : x
  2. Step 2: Convert to fraction form
    5,822.42/8,034.95 = 3,169.82/x
  3. Step 3: Cross multiply
    5,822.42x = 8,034.95 × 3,169.82
  4. Step 4: Simplify right side
    5,822.42x = 25,469,373.22
  5. Step 5: Solve for x
    x = 25,469,373.22/5,822.42
  6. Step 6: Final answer
    x = 4,374.37

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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.