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Finding the Fourth Proportional to 3,496.25, 4,824.42 and 2,004.23

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Solution

The fourth proportional to 3,496.25, 4,824.42 and 2,004.23 is: 2,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.25 : 4,824.42 = 2,004.23 : x
  2. Step 2: Convert to fraction form
    3,496.25/4,824.42 = 2,004.23/x
  3. Step 3: Cross multiply
    3,496.25x = 4,824.42 × 2,004.23
  4. Step 4: Simplify right side
    3,496.25x = 9,669,247.30
  5. Step 5: Solve for x
    x = 9,669,247.30/3,496.25
  6. Step 6: Final answer
    x = 2,765.61

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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.