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Finding the Fourth Proportional to 3,635.44, 5,449.44 and 2,175.28

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Solution

The fourth proportional to 3,635.44, 5,449.44 and 2,175.28 is: 3,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.44 : 5,449.44 = 2,175.28 : x
  2. Step 2: Convert to fraction form
    3,635.44/5,449.44 = 2,175.28/x
  3. Step 3: Cross multiply
    3,635.44x = 5,449.44 × 2,175.28
  4. Step 4: Simplify right side
    3,635.44x = 11,854,057.84
  5. Step 5: Solve for x
    x = 11,854,057.84/3,635.44
  6. Step 6: Final answer
    x = 3,260.69

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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.