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Finding the Fourth Proportional to 3,633.44, 5,447.64 and 1,990.76

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Solution

The fourth proportional to 3,633.44, 5,447.64 and 1,990.76 is: 2,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.44 : 5,447.64 = 1,990.76 : x
  2. Step 2: Convert to fraction form
    3,633.44/5,447.64 = 1,990.76/x
  3. Step 3: Cross multiply
    3,633.44x = 5,447.64 × 1,990.76
  4. Step 4: Simplify right side
    3,633.44x = 10,844,943.81
  5. Step 5: Solve for x
    x = 10,844,943.81/3,633.44
  6. Step 6: Final answer
    x = 2,984.76

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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.