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Finding the Fourth Proportional to 3,809.54, 5,709.76 and 2,163.83

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Solution

The fourth proportional to 3,809.54, 5,709.76 and 2,163.83 is: 3,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.54 : 5,709.76 = 2,163.83 : x
  2. Step 2: Convert to fraction form
    3,809.54/5,709.76 = 2,163.83/x
  3. Step 3: Cross multiply
    3,809.54x = 5,709.76 × 2,163.83
  4. Step 4: Simplify right side
    3,809.54x = 12,354,916.02
  5. Step 5: Solve for x
    x = 12,354,916.02/3,809.54
  6. Step 6: Final answer
    x = 3,243.15

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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.