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Finding the Fourth Proportional to 5,790.97, 7,991.62 and 3,239.00

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Solution

The fourth proportional to 5,790.97, 7,991.62 and 3,239.00 is: 4,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.97 : 7,991.62 = 3,239.00 : x
  2. Step 2: Convert to fraction form
    5,790.97/7,991.62 = 3,239.00/x
  3. Step 3: Cross multiply
    5,790.97x = 7,991.62 × 3,239.00
  4. Step 4: Simplify right side
    5,790.97x = 25,884,857.73
  5. Step 5: Solve for x
    x = 25,884,857.73/5,790.97
  6. Step 6: Final answer
    x = 4,469.87

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Why These Related Problems?

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