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Finding the Fourth Proportional to 5,213.76, 7,822.81 and 2,095.98

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Solution

The fourth proportional to 5,213.76, 7,822.81 and 2,095.98 is: 3,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.76 : 7,822.81 = 2,095.98 : x
  2. Step 2: Convert to fraction form
    5,213.76/7,822.81 = 2,095.98/x
  3. Step 3: Cross multiply
    5,213.76x = 7,822.81 × 2,095.98
  4. Step 4: Simplify right side
    5,213.76x = 16,396,453.30
  5. Step 5: Solve for x
    x = 16,396,453.30/5,213.76
  6. Step 6: Final answer
    x = 3,144.84

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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.