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Finding the Fourth Proportional to 5,993.16, 8,991.16 and 2,097.48

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Solution

The fourth proportional to 5,993.16, 8,991.16 and 2,097.48 is: 3,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.16 : 8,991.16 = 2,097.48 : x
  2. Step 2: Convert to fraction form
    5,993.16/8,991.16 = 2,097.48/x
  3. Step 3: Cross multiply
    5,993.16x = 8,991.16 × 2,097.48
  4. Step 4: Simplify right side
    5,993.16x = 18,858,778.28
  5. Step 5: Solve for x
    x = 18,858,778.28/5,993.16
  6. Step 6: Final answer
    x = 3,146.72

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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.