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Finding the Fourth Proportional to 6,414.82, 8,851.89 and 3,581.98

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Solution

The fourth proportional to 6,414.82, 8,851.89 and 3,581.98 is: 4,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.82 : 8,851.89 = 3,581.98 : x
  2. Step 2: Convert to fraction form
    6,414.82/8,851.89 = 3,581.98/x
  3. Step 3: Cross multiply
    6,414.82x = 8,851.89 × 3,581.98
  4. Step 4: Simplify right side
    6,414.82x = 31,707,292.94
  5. Step 5: Solve for x
    x = 31,707,292.94/6,414.82
  6. Step 6: Final answer
    x = 4,942.82

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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.