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Finding the Fourth Proportional to 5,711.67, 8,539.34 and 4,843.85

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Solution

The fourth proportional to 5,711.67, 8,539.34 and 4,843.85 is: 7,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.67 : 8,539.34 = 4,843.85 : x
  2. Step 2: Convert to fraction form
    5,711.67/8,539.34 = 4,843.85/x
  3. Step 3: Cross multiply
    5,711.67x = 8,539.34 × 4,843.85
  4. Step 4: Simplify right side
    5,711.67x = 41,363,215.14
  5. Step 5: Solve for x
    x = 41,363,215.14/5,711.67
  6. Step 6: Final answer
    x = 7,241.88

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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.