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Finding the Fourth Proportional to 5,274.28, 7,911.84 and 3,083.23

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Solution

The fourth proportional to 5,274.28, 7,911.84 and 3,083.23 is: 4,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.28 : 7,911.84 = 3,083.23 : x
  2. Step 2: Convert to fraction form
    5,274.28/7,911.84 = 3,083.23/x
  3. Step 3: Cross multiply
    5,274.28x = 7,911.84 × 3,083.23
  4. Step 4: Simplify right side
    5,274.28x = 24,394,022.44
  5. Step 5: Solve for x
    x = 24,394,022.44/5,274.28
  6. Step 6: Final answer
    x = 4,625.09

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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.