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Finding the Fourth Proportional to 5,936.65, 8,193.72 and 3,814.87

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Solution

The fourth proportional to 5,936.65, 8,193.72 and 3,814.87 is: 5,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.65 : 8,193.72 = 3,814.87 : x
  2. Step 2: Convert to fraction form
    5,936.65/8,193.72 = 3,814.87/x
  3. Step 3: Cross multiply
    5,936.65x = 8,193.72 × 3,814.87
  4. Step 4: Simplify right side
    5,936.65x = 31,257,976.62
  5. Step 5: Solve for x
    x = 31,257,976.62/5,936.65
  6. Step 6: Final answer
    x = 5,265.26

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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.