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Finding the Fourth Proportional to 5,731.15, 7,909.37 and 3,213.43

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Solution

The fourth proportional to 5,731.15, 7,909.37 and 3,213.43 is: 4,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.15 : 7,909.37 = 3,213.43 : x
  2. Step 2: Convert to fraction form
    5,731.15/7,909.37 = 3,213.43/x
  3. Step 3: Cross multiply
    5,731.15x = 7,909.37 × 3,213.43
  4. Step 4: Simplify right side
    5,731.15x = 25,416,180.27
  5. Step 5: Solve for x
    x = 25,416,180.27/5,731.15
  6. Step 6: Final answer
    x = 4,434.74

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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.