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Finding the Fourth Proportional to 5,942.88, 8,201.52 and 3,290.22

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Solution

The fourth proportional to 5,942.88, 8,201.52 and 3,290.22 is: 4,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.88 : 8,201.52 = 3,290.22 : x
  2. Step 2: Convert to fraction form
    5,942.88/8,201.52 = 3,290.22/x
  3. Step 3: Cross multiply
    5,942.88x = 8,201.52 × 3,290.22
  4. Step 4: Simplify right side
    5,942.88x = 26,984,805.13
  5. Step 5: Solve for x
    x = 26,984,805.13/5,942.88
  6. Step 6: Final answer
    x = 4,540.69

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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.