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Finding the Fourth Proportional to 5,844.26, 8,065 and 3,191.74

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Solution

The fourth proportional to 5,844.26, 8,065 and 3,191.74 is: 4,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.26 : 8,065 = 3,191.74 : x
  2. Step 2: Convert to fraction form
    5,844.26/8,065 = 3,191.74/x
  3. Step 3: Cross multiply
    5,844.26x = 8,065 × 3,191.74
  4. Step 4: Simplify right side
    5,844.26x = 25,741,383.10
  5. Step 5: Solve for x
    x = 25,741,383.10/5,844.26
  6. Step 6: Final answer
    x = 4,404.56

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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.