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Finding the Fourth Proportional to 3,633.97, 5,451.74 and 2,074.72

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Solution

The fourth proportional to 3,633.97, 5,451.74 and 2,074.72 is: 3,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.97 : 5,451.74 = 2,074.72 : x
  2. Step 2: Convert to fraction form
    3,633.97/5,451.74 = 2,074.72/x
  3. Step 3: Cross multiply
    3,633.97x = 5,451.74 × 2,074.72
  4. Step 4: Simplify right side
    3,633.97x = 11,310,834.01
  5. Step 5: Solve for x
    x = 11,310,834.01/3,633.97
  6. Step 6: Final answer
    x = 3,112.53

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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.