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Finding the Fourth Proportional to 5,745.61, 7,925.17 and 4,067.09

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Solution

The fourth proportional to 5,745.61, 7,925.17 and 4,067.09 is: 5,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.61 : 7,925.17 = 4,067.09 : x
  2. Step 2: Convert to fraction form
    5,745.61/7,925.17 = 4,067.09/x
  3. Step 3: Cross multiply
    5,745.61x = 7,925.17 × 4,067.09
  4. Step 4: Simplify right side
    5,745.61x = 32,232,379.66
  5. Step 5: Solve for x
    x = 32,232,379.66/5,745.61
  6. Step 6: Final answer
    x = 5,609.91

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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.