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Finding the Fourth Proportional to 3,471.46, 5,209.50 and 3,240.81

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Solution

The fourth proportional to 3,471.46, 5,209.50 and 3,240.81 is: 4,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.46 : 5,209.50 = 3,240.81 : x
  2. Step 2: Convert to fraction form
    3,471.46/5,209.50 = 3,240.81/x
  3. Step 3: Cross multiply
    3,471.46x = 5,209.50 × 3,240.81
  4. Step 4: Simplify right side
    3,471.46x = 16,882,999.70
  5. Step 5: Solve for x
    x = 16,882,999.70/3,471.46
  6. Step 6: Final answer
    x = 4,863.37

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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.