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Finding the Fourth Proportional to 5,441.96, 8,163.01 and 1,546.36

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Solution

The fourth proportional to 5,441.96, 8,163.01 and 1,546.36 is: 2,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.96 : 8,163.01 = 1,546.36 : x
  2. Step 2: Convert to fraction form
    5,441.96/8,163.01 = 1,546.36/x
  3. Step 3: Cross multiply
    5,441.96x = 8,163.01 × 1,546.36
  4. Step 4: Simplify right side
    5,441.96x = 12,622,952.14
  5. Step 5: Solve for x
    x = 12,622,952.14/5,441.96
  6. Step 6: Final answer
    x = 2,319.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.