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Finding the Fourth Proportional to 4,107.72, 6,163.86 and 2,548.56

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Solution

The fourth proportional to 4,107.72, 6,163.86 and 2,548.56 is: 3,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.72 : 6,163.86 = 2,548.56 : x
  2. Step 2: Convert to fraction form
    4,107.72/6,163.86 = 2,548.56/x
  3. Step 3: Cross multiply
    4,107.72x = 6,163.86 × 2,548.56
  4. Step 4: Simplify right side
    4,107.72x = 15,708,967.04
  5. Step 5: Solve for x
    x = 15,708,967.04/4,107.72
  6. Step 6: Final answer
    x = 3,824.25

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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.