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Finding the Fourth Proportional to 3,936.99, 5,905.50 and 1,471.78

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Solution

The fourth proportional to 3,936.99, 5,905.50 and 1,471.78 is: 2,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.99 : 5,905.50 = 1,471.78 : x
  2. Step 2: Convert to fraction form
    3,936.99/5,905.50 = 1,471.78/x
  3. Step 3: Cross multiply
    3,936.99x = 5,905.50 × 1,471.78
  4. Step 4: Simplify right side
    3,936.99x = 8,691,596.79
  5. Step 5: Solve for x
    x = 8,691,596.79/3,936.99
  6. Step 6: Final answer
    x = 2,207.68

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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.