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Finding the Fourth Proportional to 3,664.69, 5,497.34 and 1,067.63

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Solution

The fourth proportional to 3,664.69, 5,497.34 and 1,067.63 is: 1,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.69 : 5,497.34 = 1,067.63 : x
  2. Step 2: Convert to fraction form
    3,664.69/5,497.34 = 1,067.63/x
  3. Step 3: Cross multiply
    3,664.69x = 5,497.34 × 1,067.63
  4. Step 4: Simplify right side
    3,664.69x = 5,869,125.10
  5. Step 5: Solve for x
    x = 5,869,125.10/3,664.69
  6. Step 6: Final answer
    x = 1,601.53

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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.