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Finding the Fourth Proportional to 3,998.81, 5,996.07 and 1,533.11

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Solution

The fourth proportional to 3,998.81, 5,996.07 and 1,533.11 is: 2,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.81 : 5,996.07 = 1,533.11 : x
  2. Step 2: Convert to fraction form
    3,998.81/5,996.07 = 1,533.11/x
  3. Step 3: Cross multiply
    3,998.81x = 5,996.07 × 1,533.11
  4. Step 4: Simplify right side
    3,998.81x = 9,192,634.88
  5. Step 5: Solve for x
    x = 9,192,634.88/3,998.81
  6. Step 6: Final answer
    x = 2,298.84

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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.