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Finding the Fourth Proportional to 3,914.44, 5,896.09 and 3,643.96

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Solution

The fourth proportional to 3,914.44, 5,896.09 and 3,643.96 is: 5,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.44 : 5,896.09 = 3,643.96 : x
  2. Step 2: Convert to fraction form
    3,914.44/5,896.09 = 3,643.96/x
  3. Step 3: Cross multiply
    3,914.44x = 5,896.09 × 3,643.96
  4. Step 4: Simplify right side
    3,914.44x = 21,485,116.12
  5. Step 5: Solve for x
    x = 21,485,116.12/3,914.44
  6. Step 6: Final answer
    x = 5,488.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.