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Finding the Fourth Proportional to 3,635.61, 5,451.22 and 1,633.93

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Solution

The fourth proportional to 3,635.61, 5,451.22 and 1,633.93 is: 2,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.61 : 5,451.22 = 1,633.93 : x
  2. Step 2: Convert to fraction form
    3,635.61/5,451.22 = 1,633.93/x
  3. Step 3: Cross multiply
    3,635.61x = 5,451.22 × 1,633.93
  4. Step 4: Simplify right side
    3,635.61x = 8,906,917.69
  5. Step 5: Solve for x
    x = 8,906,917.69/3,635.61
  6. Step 6: Final answer
    x = 2,449.91

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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.