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Finding the Fourth Proportional to 4,195.80, 6,285.12 and 1,997.88

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Solution

The fourth proportional to 4,195.80, 6,285.12 and 1,997.88 is: 2,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.80 : 6,285.12 = 1,997.88 : x
  2. Step 2: Convert to fraction form
    4,195.80/6,285.12 = 1,997.88/x
  3. Step 3: Cross multiply
    4,195.80x = 6,285.12 × 1,997.88
  4. Step 4: Simplify right side
    4,195.80x = 12,556,915.55
  5. Step 5: Solve for x
    x = 12,556,915.55/4,195.80
  6. Step 6: Final answer
    x = 2,992.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.