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Finding the Fourth Proportional to 3,977.26, 5,968.53 and 2,662.48

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Solution

The fourth proportional to 3,977.26, 5,968.53 and 2,662.48 is: 3,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.26 : 5,968.53 = 2,662.48 : x
  2. Step 2: Convert to fraction form
    3,977.26/5,968.53 = 2,662.48/x
  3. Step 3: Cross multiply
    3,977.26x = 5,968.53 × 2,662.48
  4. Step 4: Simplify right side
    3,977.26x = 15,891,091.75
  5. Step 5: Solve for x
    x = 15,891,091.75/3,977.26
  6. Step 6: Final answer
    x = 3,995.49

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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.