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Finding the Fourth Proportional to 3,847.26, 5,770.89 and 1,073.82

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Solution

The fourth proportional to 3,847.26, 5,770.89 and 1,073.82 is: 1,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.26 : 5,770.89 = 1,073.82 : x
  2. Step 2: Convert to fraction form
    3,847.26/5,770.89 = 1,073.82/x
  3. Step 3: Cross multiply
    3,847.26x = 5,770.89 × 1,073.82
  4. Step 4: Simplify right side
    3,847.26x = 6,196,897.10
  5. Step 5: Solve for x
    x = 6,196,897.10/3,847.26
  6. Step 6: Final answer
    x = 1,610.73

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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.