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Finding the Fourth Proportional to 3,850.30, 5,770.77 and 1,767.41

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Solution

The fourth proportional to 3,850.30, 5,770.77 and 1,767.41 is: 2,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.30 : 5,770.77 = 1,767.41 : x
  2. Step 2: Convert to fraction form
    3,850.30/5,770.77 = 1,767.41/x
  3. Step 3: Cross multiply
    3,850.30x = 5,770.77 × 1,767.41
  4. Step 4: Simplify right side
    3,850.30x = 10,199,316.61
  5. Step 5: Solve for x
    x = 10,199,316.61/3,850.30
  6. Step 6: Final answer
    x = 2,648.97

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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.