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Finding the Fourth Proportional to 5,936.29, 8,191.36 and 3,283.54

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Solution

The fourth proportional to 5,936.29, 8,191.36 and 3,283.54 is: 4,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.29 : 8,191.36 = 3,283.54 : x
  2. Step 2: Convert to fraction form
    5,936.29/8,191.36 = 3,283.54/x
  3. Step 3: Cross multiply
    5,936.29x = 8,191.36 × 3,283.54
  4. Step 4: Simplify right side
    5,936.29x = 26,896,658.21
  5. Step 5: Solve for x
    x = 26,896,658.21/5,936.29
  6. Step 6: Final answer
    x = 4,530.89

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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.