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Finding the Fourth Proportional to 5,936.24, 8,901.36 and 3,471.84

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Solution

The fourth proportional to 5,936.24, 8,901.36 and 3,471.84 is: 5,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.24 : 8,901.36 = 3,471.84 : x
  2. Step 2: Convert to fraction form
    5,936.24/8,901.36 = 3,471.84/x
  3. Step 3: Cross multiply
    5,936.24x = 8,901.36 × 3,471.84
  4. Step 4: Simplify right side
    5,936.24x = 30,904,097.70
  5. Step 5: Solve for x
    x = 30,904,097.70/5,936.24
  6. Step 6: Final answer
    x = 5,206.01

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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.