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Finding the Fourth Proportional to 3,664.52, 5,497.66 and 1,067.40

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Solution

The fourth proportional to 3,664.52, 5,497.66 and 1,067.40 is: 1,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.52 : 5,497.66 = 1,067.40 : x
  2. Step 2: Convert to fraction form
    3,664.52/5,497.66 = 1,067.40/x
  3. Step 3: Cross multiply
    3,664.52x = 5,497.66 × 1,067.40
  4. Step 4: Simplify right side
    3,664.52x = 5,868,202.28
  5. Step 5: Solve for x
    x = 5,868,202.28/3,664.52
  6. Step 6: Final answer
    x = 1,601.36

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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.