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Finding the Fourth Proportional to 4,092.69, 5,644.77 and 2,766.15

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Solution

The fourth proportional to 4,092.69, 5,644.77 and 2,766.15 is: 3,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.69 : 5,644.77 = 2,766.15 : x
  2. Step 2: Convert to fraction form
    4,092.69/5,644.77 = 2,766.15/x
  3. Step 3: Cross multiply
    4,092.69x = 5,644.77 × 2,766.15
  4. Step 4: Simplify right side
    4,092.69x = 15,614,280.54
  5. Step 5: Solve for x
    x = 15,614,280.54/4,092.69
  6. Step 6: Final answer
    x = 3,815.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.