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Finding the Fourth Proportional to 3,664.92, 5,497.50 and 1,067.88

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Solution

The fourth proportional to 3,664.92, 5,497.50 and 1,067.88 is: 1,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.92 : 5,497.50 = 1,067.88 : x
  2. Step 2: Convert to fraction form
    3,664.92/5,497.50 = 1,067.88/x
  3. Step 3: Cross multiply
    3,664.92x = 5,497.50 × 1,067.88
  4. Step 4: Simplify right side
    3,664.92x = 5,870,670.30
  5. Step 5: Solve for x
    x = 5,870,670.30/3,664.92
  6. Step 6: Final answer
    x = 1,601.85

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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.