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Finding the Fourth Proportional to 5,731.75, 7,910.07 and 3,213.91

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Solution

The fourth proportional to 5,731.75, 7,910.07 and 3,213.91 is: 4,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.75 : 7,910.07 = 3,213.91 : x
  2. Step 2: Convert to fraction form
    5,731.75/7,910.07 = 3,213.91/x
  3. Step 3: Cross multiply
    5,731.75x = 7,910.07 × 3,213.91
  4. Step 4: Simplify right side
    5,731.75x = 25,422,253.07
  5. Step 5: Solve for x
    x = 25,422,253.07/5,731.75
  6. Step 6: Final answer
    x = 4,435.34

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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.