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Finding the Fourth Proportional to 5,442.78, 8,163.09 and 1,546.14

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Solution

The fourth proportional to 5,442.78, 8,163.09 and 1,546.14 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.78 : 8,163.09 = 1,546.14 : x
  2. Step 2: Convert to fraction form
    5,442.78/8,163.09 = 1,546.14/x
  3. Step 3: Cross multiply
    5,442.78x = 8,163.09 × 1,546.14
  4. Step 4: Simplify right side
    5,442.78x = 12,621,279.97
  5. Step 5: Solve for x
    x = 12,621,279.97/5,442.78
  6. Step 6: Final answer
    x = 2,318.90

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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.