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Finding the Fourth Proportional to 5,843.67, 8,064.41 and 3,191.06

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Solution

The fourth proportional to 5,843.67, 8,064.41 and 3,191.06 is: 4,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.67 : 8,064.41 = 3,191.06 : x
  2. Step 2: Convert to fraction form
    5,843.67/8,064.41 = 3,191.06/x
  3. Step 3: Cross multiply
    5,843.67x = 8,064.41 × 3,191.06
  4. Step 4: Simplify right side
    5,843.67x = 25,733,959.90
  5. Step 5: Solve for x
    x = 25,733,959.90/5,843.67
  6. Step 6: Final answer
    x = 4,403.73

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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.