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Finding the Fourth Proportional to 5,942.44, 8,194.62 and 3,953.08

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Solution

The fourth proportional to 5,942.44, 8,194.62 and 3,953.08 is: 5,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.44 : 8,194.62 = 3,953.08 : x
  2. Step 2: Convert to fraction form
    5,942.44/8,194.62 = 3,953.08/x
  3. Step 3: Cross multiply
    5,942.44x = 8,194.62 × 3,953.08
  4. Step 4: Simplify right side
    5,942.44x = 32,393,988.43
  5. Step 5: Solve for x
    x = 32,393,988.43/5,942.44
  6. Step 6: Final answer
    x = 5,451.29

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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.