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Finding the Fourth Proportional to 5,638.82, 7,782.14 and 4,067.82

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Solution

The fourth proportional to 5,638.82, 7,782.14 and 4,067.82 is: 5,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.82 : 7,782.14 = 4,067.82 : x
  2. Step 2: Convert to fraction form
    5,638.82/7,782.14 = 4,067.82/x
  3. Step 3: Cross multiply
    5,638.82x = 7,782.14 × 4,067.82
  4. Step 4: Simplify right side
    5,638.82x = 31,656,354.90
  5. Step 5: Solve for x
    x = 31,656,354.90/5,638.82
  6. Step 6: Final answer
    x = 5,614.01

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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.