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Finding the Fourth Proportional to 3,840.63, 5,760.39 and 1,067.52

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Solution

The fourth proportional to 3,840.63, 5,760.39 and 1,067.52 is: 1,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.63 : 5,760.39 = 1,067.52 : x
  2. Step 2: Convert to fraction form
    3,840.63/5,760.39 = 1,067.52/x
  3. Step 3: Cross multiply
    3,840.63x = 5,760.39 × 1,067.52
  4. Step 4: Simplify right side
    3,840.63x = 6,149,331.53
  5. Step 5: Solve for x
    x = 6,149,331.53/3,840.63
  6. Step 6: Final answer
    x = 1,601.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.