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Finding the Fourth Proportional to 5,464.01, 7,540.26 and 3,105.99

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Solution

The fourth proportional to 5,464.01, 7,540.26 and 3,105.99 is: 4,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.01 : 7,540.26 = 3,105.99 : x
  2. Step 2: Convert to fraction form
    5,464.01/7,540.26 = 3,105.99/x
  3. Step 3: Cross multiply
    5,464.01x = 7,540.26 × 3,105.99
  4. Step 4: Simplify right side
    5,464.01x = 23,419,972.16
  5. Step 5: Solve for x
    x = 23,419,972.16/5,464.01
  6. Step 6: Final answer
    x = 4,286.22

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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.