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Finding the Fourth Proportional to 6,414.31, 8,850.49 and 3,619.27

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Solution

The fourth proportional to 6,414.31, 8,850.49 and 3,619.27 is: 4,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.31 : 8,850.49 = 3,619.27 : x
  2. Step 2: Convert to fraction form
    6,414.31/8,850.49 = 3,619.27/x
  3. Step 3: Cross multiply
    6,414.31x = 8,850.49 × 3,619.27
  4. Step 4: Simplify right side
    6,414.31x = 32,032,312.94
  5. Step 5: Solve for x
    x = 32,032,312.94/6,414.31
  6. Step 6: Final answer
    x = 4,993.88

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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.