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Finding the Fourth Proportional to 3,496.32, 4,825.04 and 2,004.12

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Solution

The fourth proportional to 3,496.32, 4,825.04 and 2,004.12 is: 2,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.32 : 4,825.04 = 2,004.12 : x
  2. Step 2: Convert to fraction form
    3,496.32/4,825.04 = 2,004.12/x
  3. Step 3: Cross multiply
    3,496.32x = 4,825.04 × 2,004.12
  4. Step 4: Simplify right side
    3,496.32x = 9,669,949.14
  5. Step 5: Solve for x
    x = 9,669,949.14/3,496.32
  6. Step 6: Final answer
    x = 2,765.75

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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.