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Finding the Fourth Proportional to 3,633.13, 5,451.66 and 2,813

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Solution

The fourth proportional to 3,633.13, 5,451.66 and 2,813 is: 4,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.13 : 5,451.66 = 2,813 : x
  2. Step 2: Convert to fraction form
    3,633.13/5,451.66 = 2,813/x
  3. Step 3: Cross multiply
    3,633.13x = 5,451.66 × 2,813
  4. Step 4: Simplify right side
    3,633.13x = 15,335,505.52
  5. Step 5: Solve for x
    x = 15,335,505.52/3,633.13
  6. Step 6: Final answer
    x = 4,221.02

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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.