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Finding the Fourth Proportional to 5,704.43, 7,860.44 and 4,027.73

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Solution

The fourth proportional to 5,704.43, 7,860.44 and 4,027.73 is: 5,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.43 : 7,860.44 = 4,027.73 : x
  2. Step 2: Convert to fraction form
    5,704.43/7,860.44 = 4,027.73/x
  3. Step 3: Cross multiply
    5,704.43x = 7,860.44 × 4,027.73
  4. Step 4: Simplify right side
    5,704.43x = 31,659,700.77
  5. Step 5: Solve for x
    x = 31,659,700.77/5,704.43
  6. Step 6: Final answer
    x = 5,550.02

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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.