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Finding the Fourth Proportional to 3,464.97, 5,172.23 and 3,027.57

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Solution

The fourth proportional to 3,464.97, 5,172.23 and 3,027.57 is: 4,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.97 : 5,172.23 = 3,027.57 : x
  2. Step 2: Convert to fraction form
    3,464.97/5,172.23 = 3,027.57/x
  3. Step 3: Cross multiply
    3,464.97x = 5,172.23 × 3,027.57
  4. Step 4: Simplify right side
    3,464.97x = 15,659,273.24
  5. Step 5: Solve for x
    x = 15,659,273.24/3,464.97
  6. Step 6: Final answer
    x = 4,519.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.