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Finding the Fourth Proportional to 4,204.92, 5,796.78 and 3,083.88

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Solution

The fourth proportional to 4,204.92, 5,796.78 and 3,083.88 is: 4,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.92 : 5,796.78 = 3,083.88 : x
  2. Step 2: Convert to fraction form
    4,204.92/5,796.78 = 3,083.88/x
  3. Step 3: Cross multiply
    4,204.92x = 5,796.78 × 3,083.88
  4. Step 4: Simplify right side
    4,204.92x = 17,876,573.91
  5. Step 5: Solve for x
    x = 17,876,573.91/4,204.92
  6. Step 6: Final answer
    x = 4,251.35

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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.