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Finding the Fourth Proportional to 3,496.49, 4,825.17 and 2,004.44

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Solution

The fourth proportional to 3,496.49, 4,825.17 and 2,004.44 is: 2,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.49 : 4,825.17 = 2,004.44 : x
  2. Step 2: Convert to fraction form
    3,496.49/4,825.17 = 2,004.44/x
  3. Step 3: Cross multiply
    3,496.49x = 4,825.17 × 2,004.44
  4. Step 4: Simplify right side
    3,496.49x = 9,671,763.75
  5. Step 5: Solve for x
    x = 9,671,763.75/3,496.49
  6. Step 6: Final answer
    x = 2,766.14

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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.