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Finding the Fourth Proportional to 4,067.64, 5,614.26 and 2,300.27

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Solution

The fourth proportional to 4,067.64, 5,614.26 and 2,300.27 is: 3,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.64 : 5,614.26 = 2,300.27 : x
  2. Step 2: Convert to fraction form
    4,067.64/5,614.26 = 2,300.27/x
  3. Step 3: Cross multiply
    4,067.64x = 5,614.26 × 2,300.27
  4. Step 4: Simplify right side
    4,067.64x = 12,914,274.28
  5. Step 5: Solve for x
    x = 12,914,274.28/4,067.64
  6. Step 6: Final answer
    x = 3,174.89

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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.