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Finding the Fourth Proportional to 3,616.75, 4,991.12 and 1,960.75

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Solution

The fourth proportional to 3,616.75, 4,991.12 and 1,960.75 is: 2,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.75 : 4,991.12 = 1,960.75 : x
  2. Step 2: Convert to fraction form
    3,616.75/4,991.12 = 1,960.75/x
  3. Step 3: Cross multiply
    3,616.75x = 4,991.12 × 1,960.75
  4. Step 4: Simplify right side
    3,616.75x = 9,786,338.54
  5. Step 5: Solve for x
    x = 9,786,338.54/3,616.75
  6. Step 6: Final answer
    x = 2,705.84

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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.