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Finding the Fourth Proportional to 4,092.69, 6,140.85 and 2,144.43

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Solution

The fourth proportional to 4,092.69, 6,140.85 and 2,144.43 is: 3,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.69 : 6,140.85 = 2,144.43 : x
  2. Step 2: Convert to fraction form
    4,092.69/6,140.85 = 2,144.43/x
  3. Step 3: Cross multiply
    4,092.69x = 6,140.85 × 2,144.43
  4. Step 4: Simplify right side
    4,092.69x = 13,168,622.97
  5. Step 5: Solve for x
    x = 13,168,622.97/4,092.69
  6. Step 6: Final answer
    x = 3,217.60

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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.