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Finding the Fourth Proportional to 5,836.22, 8,054.01 and 3,183.68

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Solution

The fourth proportional to 5,836.22, 8,054.01 and 3,183.68 is: 4,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.22 : 8,054.01 = 3,183.68 : x
  2. Step 2: Convert to fraction form
    5,836.22/8,054.01 = 3,183.68/x
  3. Step 3: Cross multiply
    5,836.22x = 8,054.01 × 3,183.68
  4. Step 4: Simplify right side
    5,836.22x = 25,641,350.29
  5. Step 5: Solve for x
    x = 25,641,350.29/5,836.22
  6. Step 6: Final answer
    x = 4,393.48

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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.