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Finding the Fourth Proportional to 3,454.97, 4,760.78 and 3,268.85

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Solution

The fourth proportional to 3,454.97, 4,760.78 and 3,268.85 is: 4,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.97 : 4,760.78 = 3,268.85 : x
  2. Step 2: Convert to fraction form
    3,454.97/4,760.78 = 3,268.85/x
  3. Step 3: Cross multiply
    3,454.97x = 4,760.78 × 3,268.85
  4. Step 4: Simplify right side
    3,454.97x = 15,562,235.55
  5. Step 5: Solve for x
    x = 15,562,235.55/3,454.97
  6. Step 6: Final answer
    x = 4,504.31

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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.