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Finding the Fourth Proportional to 5,843.69, 8,064.50 and 3,191.21

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Solution

The fourth proportional to 5,843.69, 8,064.50 and 3,191.21 is: 4,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.69 : 8,064.50 = 3,191.21 : x
  2. Step 2: Convert to fraction form
    5,843.69/8,064.50 = 3,191.21/x
  3. Step 3: Cross multiply
    5,843.69x = 8,064.50 × 3,191.21
  4. Step 4: Simplify right side
    5,843.69x = 25,735,456.77
  5. Step 5: Solve for x
    x = 25,735,456.77/5,843.69
  6. Step 6: Final answer
    x = 4,403.98

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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.