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Finding the Fourth Proportional to 6,414.90, 8,853.21 and 4,057.26

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Solution

The fourth proportional to 6,414.90, 8,853.21 and 4,057.26 is: 5,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.90 : 8,853.21 = 4,057.26 : x
  2. Step 2: Convert to fraction form
    6,414.90/8,853.21 = 4,057.26/x
  3. Step 3: Cross multiply
    6,414.90x = 8,853.21 × 4,057.26
  4. Step 4: Simplify right side
    6,414.90x = 35,919,774.80
  5. Step 5: Solve for x
    x = 35,919,774.80/6,414.90
  6. Step 6: Final answer
    x = 5,599.43

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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.