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Finding the Fourth Proportional to 3,616.50, 4,990.38 and 2,022.98

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Solution

The fourth proportional to 3,616.50, 4,990.38 and 2,022.98 is: 2,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.50 : 4,990.38 = 2,022.98 : x
  2. Step 2: Convert to fraction form
    3,616.50/4,990.38 = 2,022.98/x
  3. Step 3: Cross multiply
    3,616.50x = 4,990.38 × 2,022.98
  4. Step 4: Simplify right side
    3,616.50x = 10,095,451.41
  5. Step 5: Solve for x
    x = 10,095,451.41/3,616.50
  6. Step 6: Final answer
    x = 2,791.50

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Why These Related Problems?

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