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Finding the Fourth Proportional to 5,822.24, 8,034.84 and 3,169.84

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Solution

The fourth proportional to 5,822.24, 8,034.84 and 3,169.84 is: 4,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.24 : 8,034.84 = 3,169.84 : x
  2. Step 2: Convert to fraction form
    5,822.24/8,034.84 = 3,169.84/x
  3. Step 3: Cross multiply
    5,822.24x = 8,034.84 × 3,169.84
  4. Step 4: Simplify right side
    5,822.24x = 25,469,157.23
  5. Step 5: Solve for x
    x = 25,469,157.23/5,822.24
  6. Step 6: Final answer
    x = 4,374.46

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