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Finding the Fourth Proportional to 5,969.57, 8,239.05 and 3,451.28

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Solution

The fourth proportional to 5,969.57, 8,239.05 and 3,451.28 is: 4,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.57 : 8,239.05 = 3,451.28 : x
  2. Step 2: Convert to fraction form
    5,969.57/8,239.05 = 3,451.28/x
  3. Step 3: Cross multiply
    5,969.57x = 8,239.05 × 3,451.28
  4. Step 4: Simplify right side
    5,969.57x = 28,435,227.29
  5. Step 5: Solve for x
    x = 28,435,227.29/5,969.57
  6. Step 6: Final answer
    x = 4,763.37

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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.