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Finding the Fourth Proportional to 4,067.70, 5,614.16 and 2,389.25

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Solution

The fourth proportional to 4,067.70, 5,614.16 and 2,389.25 is: 3,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.70 : 5,614.16 = 2,389.25 : x
  2. Step 2: Convert to fraction form
    4,067.70/5,614.16 = 2,389.25/x
  3. Step 3: Cross multiply
    4,067.70x = 5,614.16 × 2,389.25
  4. Step 4: Simplify right side
    4,067.70x = 13,413,591.76
  5. Step 5: Solve for x
    x = 13,413,591.76/4,067.70
  6. Step 6: Final answer
    x = 3,297.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.