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Finding the Fourth Proportional to 3,811.37, 5,717.28 and 1,471.39

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Solution

The fourth proportional to 3,811.37, 5,717.28 and 1,471.39 is: 2,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.37 : 5,717.28 = 1,471.39 : x
  2. Step 2: Convert to fraction form
    3,811.37/5,717.28 = 1,471.39/x
  3. Step 3: Cross multiply
    3,811.37x = 5,717.28 × 1,471.39
  4. Step 4: Simplify right side
    3,811.37x = 8,412,348.62
  5. Step 5: Solve for x
    x = 8,412,348.62/3,811.37
  6. Step 6: Final answer
    x = 2,207.17

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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.