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Finding the Fourth Proportional to 5,326.35, 7,991.07 and 2,205.78

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Solution

The fourth proportional to 5,326.35, 7,991.07 and 2,205.78 is: 3,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.35 : 7,991.07 = 2,205.78 : x
  2. Step 2: Convert to fraction form
    5,326.35/7,991.07 = 2,205.78/x
  3. Step 3: Cross multiply
    5,326.35x = 7,991.07 × 2,205.78
  4. Step 4: Simplify right side
    5,326.35x = 17,626,542.38
  5. Step 5: Solve for x
    x = 17,626,542.38/5,326.35
  6. Step 6: Final answer
    x = 3,309.31

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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.