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Finding the Fourth Proportional to 6,414.29, 8,850.94 and 3,581.82

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Solution

The fourth proportional to 6,414.29, 8,850.94 and 3,581.82 is: 4,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.29 : 8,850.94 = 3,581.82 : x
  2. Step 2: Convert to fraction form
    6,414.29/8,850.94 = 3,581.82/x
  3. Step 3: Cross multiply
    6,414.29x = 8,850.94 × 3,581.82
  4. Step 4: Simplify right side
    6,414.29x = 31,702,499.92
  5. Step 5: Solve for x
    x = 31,702,499.92/6,414.29
  6. Step 6: Final answer
    x = 4,942.48

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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.