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Finding the Fourth Proportional to 3,826.89, 5,739.26 and 1,052.89

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Solution

The fourth proportional to 3,826.89, 5,739.26 and 1,052.89 is: 1,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.89 : 5,739.26 = 1,052.89 : x
  2. Step 2: Convert to fraction form
    3,826.89/5,739.26 = 1,052.89/x
  3. Step 3: Cross multiply
    3,826.89x = 5,739.26 × 1,052.89
  4. Step 4: Simplify right side
    3,826.89x = 6,042,789.85
  5. Step 5: Solve for x
    x = 6,042,789.85/3,826.89
  6. Step 6: Final answer
    x = 1,579.03

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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.