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Finding the Fourth Proportional to 3,846.23, 5,771.15 and 2,091.17

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Solution

The fourth proportional to 3,846.23, 5,771.15 and 2,091.17 is: 3,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.23 : 5,771.15 = 2,091.17 : x
  2. Step 2: Convert to fraction form
    3,846.23/5,771.15 = 2,091.17/x
  3. Step 3: Cross multiply
    3,846.23x = 5,771.15 × 2,091.17
  4. Step 4: Simplify right side
    3,846.23x = 12,068,435.10
  5. Step 5: Solve for x
    x = 12,068,435.10/3,846.23
  6. Step 6: Final answer
    x = 3,137.73

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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.