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Finding the Fourth Proportional to 5,991.50, 8,989.02 and 3,071.85

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Solution

The fourth proportional to 5,991.50, 8,989.02 and 3,071.85 is: 4,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.50 : 8,989.02 = 3,071.85 : x
  2. Step 2: Convert to fraction form
    5,991.50/8,989.02 = 3,071.85/x
  3. Step 3: Cross multiply
    5,991.50x = 8,989.02 × 3,071.85
  4. Step 4: Simplify right side
    5,991.50x = 27,612,921.09
  5. Step 5: Solve for x
    x = 27,612,921.09/5,991.50
  6. Step 6: Final answer
    x = 4,608.69

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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.