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Finding the Fourth Proportional to 3,863.08, 5,324.82 and 3,022.43

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Solution

The fourth proportional to 3,863.08, 5,324.82 and 3,022.43 is: 4,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.08 : 5,324.82 = 3,022.43 : x
  2. Step 2: Convert to fraction form
    3,863.08/5,324.82 = 3,022.43/x
  3. Step 3: Cross multiply
    3,863.08x = 5,324.82 × 3,022.43
  4. Step 4: Simplify right side
    3,863.08x = 16,093,895.71
  5. Step 5: Solve for x
    x = 16,093,895.71/3,863.08
  6. Step 6: Final answer
    x = 4,166.08

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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.