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Finding the Fourth Proportional to 5,942.35, 8,201.82 and 3,952.99

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Solution

The fourth proportional to 5,942.35, 8,201.82 and 3,952.99 is: 5,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.35 : 8,201.82 = 3,952.99 : x
  2. Step 2: Convert to fraction form
    5,942.35/8,201.82 = 3,952.99/x
  3. Step 3: Cross multiply
    5,942.35x = 8,201.82 × 3,952.99
  4. Step 4: Simplify right side
    5,942.35x = 32,421,712.44
  5. Step 5: Solve for x
    x = 32,421,712.44/5,942.35
  6. Step 6: Final answer
    x = 5,456.04

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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.