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Finding the Fourth Proportional to 3,469.24, 5,203.52 and 1,908.73

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Solution

The fourth proportional to 3,469.24, 5,203.52 and 1,908.73 is: 2,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.24 : 5,203.52 = 1,908.73 : x
  2. Step 2: Convert to fraction form
    3,469.24/5,203.52 = 1,908.73/x
  3. Step 3: Cross multiply
    3,469.24x = 5,203.52 × 1,908.73
  4. Step 4: Simplify right side
    3,469.24x = 9,932,114.73
  5. Step 5: Solve for x
    x = 9,932,114.73/3,469.24
  6. Step 6: Final answer
    x = 2,862.91

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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.