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Finding the Fourth Proportional to 4,194.82, 5,789.42 and 2,778.31

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Solution

The fourth proportional to 4,194.82, 5,789.42 and 2,778.31 is: 3,834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.82 : 5,789.42 = 2,778.31 : x
  2. Step 2: Convert to fraction form
    4,194.82/5,789.42 = 2,778.31/x
  3. Step 3: Cross multiply
    4,194.82x = 5,789.42 × 2,778.31
  4. Step 4: Simplify right side
    4,194.82x = 16,084,803.48
  5. Step 5: Solve for x
    x = 16,084,803.48/4,194.82
  6. Step 6: Final answer
    x = 3,834.44

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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.