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Finding the Fourth Proportional to 5,768.90, 8,650.62 and 2,992.80

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Solution

The fourth proportional to 5,768.90, 8,650.62 and 2,992.80 is: 4,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.90 : 8,650.62 = 2,992.80 : x
  2. Step 2: Convert to fraction form
    5,768.90/8,650.62 = 2,992.80/x
  3. Step 3: Cross multiply
    5,768.90x = 8,650.62 × 2,992.80
  4. Step 4: Simplify right side
    5,768.90x = 25,889,575.54
  5. Step 5: Solve for x
    x = 25,889,575.54/5,768.90
  6. Step 6: Final answer
    x = 4,487.78

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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.