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Finding the Fourth Proportional to 5,822.39, 8,035.07 and 3,169.97

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Solution

The fourth proportional to 5,822.39, 8,035.07 and 3,169.97 is: 4,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.39 : 8,035.07 = 3,169.97 : x
  2. Step 2: Convert to fraction form
    5,822.39/8,035.07 = 3,169.97/x
  3. Step 3: Cross multiply
    5,822.39x = 8,035.07 × 3,169.97
  4. Step 4: Simplify right side
    5,822.39x = 25,470,930.85
  5. Step 5: Solve for x
    x = 25,470,930.85/5,822.39
  6. Step 6: Final answer
    x = 4,374.65

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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.