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Finding the Fourth Proportional to 5,449.92, 8,181.60 and 4,218.16

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Solution

The fourth proportional to 5,449.92, 8,181.60 and 4,218.16 is: 6,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.92 : 8,181.60 = 4,218.16 : x
  2. Step 2: Convert to fraction form
    5,449.92/8,181.60 = 4,218.16/x
  3. Step 3: Cross multiply
    5,449.92x = 8,181.60 × 4,218.16
  4. Step 4: Simplify right side
    5,449.92x = 34,511,297.86
  5. Step 5: Solve for x
    x = 34,511,297.86/5,449.92
  6. Step 6: Final answer
    x = 6,332.44

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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.