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Finding the Fourth Proportional to 5,993.80, 8,991.84 and 2,871.69

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Solution

The fourth proportional to 5,993.80, 8,991.84 and 2,871.69 is: 4,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.80 : 8,991.84 = 2,871.69 : x
  2. Step 2: Convert to fraction form
    5,993.80/8,991.84 = 2,871.69/x
  3. Step 3: Cross multiply
    5,993.80x = 8,991.84 × 2,871.69
  4. Step 4: Simplify right side
    5,993.80x = 25,821,754.06
  5. Step 5: Solve for x
    x = 25,821,754.06/5,993.80
  6. Step 6: Final answer
    x = 4,308.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.