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Finding the Fourth Proportional to 5,567.97, 7,691.81 and 4,447.44

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Solution

The fourth proportional to 5,567.97, 7,691.81 and 4,447.44 is: 6,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.97 : 7,691.81 = 4,447.44 : x
  2. Step 2: Convert to fraction form
    5,567.97/7,691.81 = 4,447.44/x
  3. Step 3: Cross multiply
    5,567.97x = 7,691.81 × 4,447.44
  4. Step 4: Simplify right side
    5,567.97x = 34,208,866.25
  5. Step 5: Solve for x
    x = 34,208,866.25/5,567.97
  6. Step 6: Final answer
    x = 6,143.86

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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.