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Finding the Fourth Proportional to 5,893.44, 8,844.20 and 2,198.62

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Solution

The fourth proportional to 5,893.44, 8,844.20 and 2,198.62 is: 3,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.44 : 8,844.20 = 2,198.62 : x
  2. Step 2: Convert to fraction form
    5,893.44/8,844.20 = 2,198.62/x
  3. Step 3: Cross multiply
    5,893.44x = 8,844.20 × 2,198.62
  4. Step 4: Simplify right side
    5,893.44x = 19,445,035.00
  5. Step 5: Solve for x
    x = 19,445,035.00/5,893.44
  6. Step 6: Final answer
    x = 3,299.44

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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.