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Finding the Fourth Proportional to 5,998.08, 8,992.80 and 2,299.44

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Solution

The fourth proportional to 5,998.08, 8,992.80 and 2,299.44 is: 3,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.08 : 8,992.80 = 2,299.44 : x
  2. Step 2: Convert to fraction form
    5,998.08/8,992.80 = 2,299.44/x
  3. Step 3: Cross multiply
    5,998.08x = 8,992.80 × 2,299.44
  4. Step 4: Simplify right side
    5,998.08x = 20,678,404.03
  5. Step 5: Solve for x
    x = 20,678,404.03/5,998.08
  6. Step 6: Final answer
    x = 3,447.50

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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.