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Finding the Fourth Proportional to 3,823.67, 5,736.04 and 1,191.37

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Solution

The fourth proportional to 3,823.67, 5,736.04 and 1,191.37 is: 1,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.67 : 5,736.04 = 1,191.37 : x
  2. Step 2: Convert to fraction form
    3,823.67/5,736.04 = 1,191.37/x
  3. Step 3: Cross multiply
    3,823.67x = 5,736.04 × 1,191.37
  4. Step 4: Simplify right side
    3,823.67x = 6,833,745.97
  5. Step 5: Solve for x
    x = 6,833,745.97/3,823.67
  6. Step 6: Final answer
    x = 1,787.22

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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.