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Finding the Fourth Proportional to 3,840.45, 5,760.79 and 1,067.33

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Solution

The fourth proportional to 3,840.45, 5,760.79 and 1,067.33 is: 1,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.45 : 5,760.79 = 1,067.33 : x
  2. Step 2: Convert to fraction form
    3,840.45/5,760.79 = 1,067.33/x
  3. Step 3: Cross multiply
    3,840.45x = 5,760.79 × 1,067.33
  4. Step 4: Simplify right side
    3,840.45x = 6,148,663.99
  5. Step 5: Solve for x
    x = 6,148,663.99/3,840.45
  6. Step 6: Final answer
    x = 1,601.03

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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.