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Finding the Fourth Proportional to 5,974.22, 8,240.82 and 3,849.05

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Solution

The fourth proportional to 5,974.22, 8,240.82 and 3,849.05 is: 5,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.22 : 8,240.82 = 3,849.05 : x
  2. Step 2: Convert to fraction form
    5,974.22/8,240.82 = 3,849.05/x
  3. Step 3: Cross multiply
    5,974.22x = 8,240.82 × 3,849.05
  4. Step 4: Simplify right side
    5,974.22x = 31,719,287.02
  5. Step 5: Solve for x
    x = 31,719,287.02/5,974.22
  6. Step 6: Final answer
    x = 5,309.36

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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.