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Finding the Fourth Proportional to 4,194.97, 5,789.00 and 2,426.54

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Solution

The fourth proportional to 4,194.97, 5,789.00 and 2,426.54 is: 3,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.97 : 5,789.00 = 2,426.54 : x
  2. Step 2: Convert to fraction form
    4,194.97/5,789.00 = 2,426.54/x
  3. Step 3: Cross multiply
    4,194.97x = 5,789.00 × 2,426.54
  4. Step 4: Simplify right side
    4,194.97x = 14,047,217.18
  5. Step 5: Solve for x
    x = 14,047,217.18/4,194.97
  6. Step 6: Final answer
    x = 3,348.59

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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.