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Finding the Fourth Proportional to 5,942.61, 8,201.39 and 3,290.13

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Solution

The fourth proportional to 5,942.61, 8,201.39 and 3,290.13 is: 4,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.61 : 8,201.39 = 3,290.13 : x
  2. Step 2: Convert to fraction form
    5,942.61/8,201.39 = 3,290.13/x
  3. Step 3: Cross multiply
    5,942.61x = 8,201.39 × 3,290.13
  4. Step 4: Simplify right side
    5,942.61x = 26,983,622.83
  5. Step 5: Solve for x
    x = 26,983,622.83/5,942.61
  6. Step 6: Final answer
    x = 4,540.70

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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.