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Finding the Fourth Proportional to 3,884.45, 5,362.49 and 2,469.56

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Solution

The fourth proportional to 3,884.45, 5,362.49 and 2,469.56 is: 3,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.45 : 5,362.49 = 2,469.56 : x
  2. Step 2: Convert to fraction form
    3,884.45/5,362.49 = 2,469.56/x
  3. Step 3: Cross multiply
    3,884.45x = 5,362.49 × 2,469.56
  4. Step 4: Simplify right side
    3,884.45x = 13,242,978.46
  5. Step 5: Solve for x
    x = 13,242,978.46/3,884.45
  6. Step 6: Final answer
    x = 3,409.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.