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Finding the Fourth Proportional to 5,936.34, 8,193 and 3,418.20

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Solution

The fourth proportional to 5,936.34, 8,193 and 3,418.20 is: 4,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.34 : 8,193 = 3,418.20 : x
  2. Step 2: Convert to fraction form
    5,936.34/8,193 = 3,418.20/x
  3. Step 3: Cross multiply
    5,936.34x = 8,193 × 3,418.20
  4. Step 4: Simplify right side
    5,936.34x = 28,005,333.08
  5. Step 5: Solve for x
    x = 28,005,333.08/5,936.34
  6. Step 6: Final answer
    x = 4,717.61

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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.