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Finding the Fourth Proportional to 4,192.52, 6,290.15 and 2,000.96

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Solution

The fourth proportional to 4,192.52, 6,290.15 and 2,000.96 is: 3,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.52 : 6,290.15 = 2,000.96 : x
  2. Step 2: Convert to fraction form
    4,192.52/6,290.15 = 2,000.96/x
  3. Step 3: Cross multiply
    4,192.52x = 6,290.15 × 2,000.96
  4. Step 4: Simplify right side
    4,192.52x = 12,586,338.54
  5. Step 5: Solve for x
    x = 12,586,338.54/4,192.52
  6. Step 6: Final answer
    x = 3,002.09

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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.