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Finding the Fourth Proportional to 3,664.26, 5,496.26 and 1,067.13

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Solution

The fourth proportional to 3,664.26, 5,496.26 and 1,067.13 is: 1,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.26 : 5,496.26 = 1,067.13 : x
  2. Step 2: Convert to fraction form
    3,664.26/5,496.26 = 1,067.13/x
  3. Step 3: Cross multiply
    3,664.26x = 5,496.26 × 1,067.13
  4. Step 4: Simplify right side
    3,664.26x = 5,865,218.60
  5. Step 5: Solve for x
    x = 5,865,218.60/3,664.26
  6. Step 6: Final answer
    x = 1,600.66

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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.