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Finding the Fourth Proportional to 5,822.09, 8,034.24 and 3,169.50

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Solution

The fourth proportional to 5,822.09, 8,034.24 and 3,169.50 is: 4,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.09 : 8,034.24 = 3,169.50 : x
  2. Step 2: Convert to fraction form
    5,822.09/8,034.24 = 3,169.50/x
  3. Step 3: Cross multiply
    5,822.09x = 8,034.24 × 3,169.50
  4. Step 4: Simplify right side
    5,822.09x = 25,464,523.68
  5. Step 5: Solve for x
    x = 25,464,523.68/5,822.09
  6. Step 6: Final answer
    x = 4,373.78

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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.