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Finding the Fourth Proportional to 3,239.91, 4,471.59 and 1,824.21

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Solution

The fourth proportional to 3,239.91, 4,471.59 and 1,824.21 is: 2,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.91 : 4,471.59 = 1,824.21 : x
  2. Step 2: Convert to fraction form
    3,239.91/4,471.59 = 1,824.21/x
  3. Step 3: Cross multiply
    3,239.91x = 4,471.59 × 1,824.21
  4. Step 4: Simplify right side
    3,239.91x = 8,157,119.19
  5. Step 5: Solve for x
    x = 8,157,119.19/3,239.91
  6. Step 6: Final answer
    x = 2,517.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.