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Finding the Fourth Proportional to 5,843.82, 8,064.50 and 3,191.25

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Solution

The fourth proportional to 5,843.82, 8,064.50 and 3,191.25 is: 4,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.82 : 8,064.50 = 3,191.25 : x
  2. Step 2: Convert to fraction form
    5,843.82/8,064.50 = 3,191.25/x
  3. Step 3: Cross multiply
    5,843.82x = 8,064.50 × 3,191.25
  4. Step 4: Simplify right side
    5,843.82x = 25,735,835.63
  5. Step 5: Solve for x
    x = 25,735,835.63/5,843.82
  6. Step 6: Final answer
    x = 4,403.94

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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.