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Finding the Fourth Proportional to 3,471.32, 5,194.56 and 3,239.60

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Solution

The fourth proportional to 3,471.32, 5,194.56 and 3,239.60 is: 4,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.32 : 5,194.56 = 3,239.60 : x
  2. Step 2: Convert to fraction form
    3,471.32/5,194.56 = 3,239.60/x
  3. Step 3: Cross multiply
    3,471.32x = 5,194.56 × 3,239.60
  4. Step 4: Simplify right side
    3,471.32x = 16,828,296.58
  5. Step 5: Solve for x
    x = 16,828,296.58/3,471.32
  6. Step 6: Final answer
    x = 4,847.81

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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.