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Finding the Fourth Proportional to 5,959.37, 8,942.48 and 2,213.76

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Solution

The fourth proportional to 5,959.37, 8,942.48 and 2,213.76 is: 3,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.37 : 8,942.48 = 2,213.76 : x
  2. Step 2: Convert to fraction form
    5,959.37/8,942.48 = 2,213.76/x
  3. Step 3: Cross multiply
    5,959.37x = 8,942.48 × 2,213.76
  4. Step 4: Simplify right side
    5,959.37x = 19,796,453.61
  5. Step 5: Solve for x
    x = 19,796,453.61/5,959.37
  6. Step 6: Final answer
    x = 3,321.90

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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.