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Finding the Fourth Proportional to 5,481.36, 8,216.88 and 2,016

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Solution

The fourth proportional to 5,481.36, 8,216.88 and 2,016 is: 3,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.36 : 8,216.88 = 2,016 : x
  2. Step 2: Convert to fraction form
    5,481.36/8,216.88 = 2,016/x
  3. Step 3: Cross multiply
    5,481.36x = 8,216.88 × 2,016
  4. Step 4: Simplify right side
    5,481.36x = 16,565,230.08
  5. Step 5: Solve for x
    x = 16,565,230.08/5,481.36
  6. Step 6: Final answer
    x = 3,022.10

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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.