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Finding the Fourth Proportional to 3,682.28, 5,511.09 and 3,633.06

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Solution

The fourth proportional to 3,682.28, 5,511.09 and 3,633.06 is: 5,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.28 : 5,511.09 = 3,633.06 : x
  2. Step 2: Convert to fraction form
    3,682.28/5,511.09 = 3,633.06/x
  3. Step 3: Cross multiply
    3,682.28x = 5,511.09 × 3,633.06
  4. Step 4: Simplify right side
    3,682.28x = 20,022,120.64
  5. Step 5: Solve for x
    x = 20,022,120.64/3,682.28
  6. Step 6: Final answer
    x = 5,437.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.