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Finding the Fourth Proportional to 5,267.44, 7,901.17 and 1,371.84

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Solution

The fourth proportional to 5,267.44, 7,901.17 and 1,371.84 is: 2,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.44 : 7,901.17 = 1,371.84 : x
  2. Step 2: Convert to fraction form
    5,267.44/7,901.17 = 1,371.84/x
  3. Step 3: Cross multiply
    5,267.44x = 7,901.17 × 1,371.84
  4. Step 4: Simplify right side
    5,267.44x = 10,839,141.05
  5. Step 5: Solve for x
    x = 10,839,141.05/5,267.44
  6. Step 6: Final answer
    x = 2,057.76

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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.