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Finding the Fourth Proportional to 5,343.50, 8,020.22 and 2,712.86

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Solution

The fourth proportional to 5,343.50, 8,020.22 and 2,712.86 is: 4,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.50 : 8,020.22 = 2,712.86 : x
  2. Step 2: Convert to fraction form
    5,343.50/8,020.22 = 2,712.86/x
  3. Step 3: Cross multiply
    5,343.50x = 8,020.22 × 2,712.86
  4. Step 4: Simplify right side
    5,343.50x = 21,757,734.03
  5. Step 5: Solve for x
    x = 21,757,734.03/5,343.50
  6. Step 6: Final answer
    x = 4,071.81

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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.