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Finding the Fourth Proportional to 4,496.08, 6,202.44 and 3,874

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Solution

The fourth proportional to 4,496.08, 6,202.44 and 3,874 is: 5,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.08 : 6,202.44 = 3,874 : x
  2. Step 2: Convert to fraction form
    4,496.08/6,202.44 = 3,874/x
  3. Step 3: Cross multiply
    4,496.08x = 6,202.44 × 3,874
  4. Step 4: Simplify right side
    4,496.08x = 24,028,252.56
  5. Step 5: Solve for x
    x = 24,028,252.56/4,496.08
  6. Step 6: Final answer
    x = 5,344.27

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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.