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Finding the Fourth Proportional to 5,731.07, 7,909.07 and 3,213.29

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Solution

The fourth proportional to 5,731.07, 7,909.07 and 3,213.29 is: 4,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.07 : 7,909.07 = 3,213.29 : x
  2. Step 2: Convert to fraction form
    5,731.07/7,909.07 = 3,213.29/x
  3. Step 3: Cross multiply
    5,731.07x = 7,909.07 × 3,213.29
  4. Step 4: Simplify right side
    5,731.07x = 25,414,079.93
  5. Step 5: Solve for x
    x = 25,414,079.93/5,731.07
  6. Step 6: Final answer
    x = 4,434.44

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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.