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Finding the Fourth Proportional to 5,045.82, 7,571.25 and 3,191.82

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Solution

The fourth proportional to 5,045.82, 7,571.25 and 3,191.82 is: 4,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.82 : 7,571.25 = 3,191.82 : x
  2. Step 2: Convert to fraction form
    5,045.82/7,571.25 = 3,191.82/x
  3. Step 3: Cross multiply
    5,045.82x = 7,571.25 × 3,191.82
  4. Step 4: Simplify right side
    5,045.82x = 24,166,067.18
  5. Step 5: Solve for x
    x = 24,166,067.18/5,045.82
  6. Step 6: Final answer
    x = 4,789.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.