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Finding the Fourth Proportional to 3,664.14, 5,497.15 and 1,067.08

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Solution

The fourth proportional to 3,664.14, 5,497.15 and 1,067.08 is: 1,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.14 : 5,497.15 = 1,067.08 : x
  2. Step 2: Convert to fraction form
    3,664.14/5,497.15 = 1,067.08/x
  3. Step 3: Cross multiply
    3,664.14x = 5,497.15 × 1,067.08
  4. Step 4: Simplify right side
    3,664.14x = 5,865,898.82
  5. Step 5: Solve for x
    x = 5,865,898.82/3,664.14
  6. Step 6: Final answer
    x = 1,600.89

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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.