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Finding the Fourth Proportional to 5,891.09, 8,129.85 and 3,238.56

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Solution

The fourth proportional to 5,891.09, 8,129.85 and 3,238.56 is: 4,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.09 : 8,129.85 = 3,238.56 : x
  2. Step 2: Convert to fraction form
    5,891.09/8,129.85 = 3,238.56/x
  3. Step 3: Cross multiply
    5,891.09x = 8,129.85 × 3,238.56
  4. Step 4: Simplify right side
    5,891.09x = 26,329,007.02
  5. Step 5: Solve for x
    x = 26,329,007.02/5,891.09
  6. Step 6: Final answer
    x = 4,469.29

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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.