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Finding the Fourth Proportional to 3,616.84, 4,991.24 and 2,200.39

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Solution

The fourth proportional to 3,616.84, 4,991.24 and 2,200.39 is: 3,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.84 : 4,991.24 = 2,200.39 : x
  2. Step 2: Convert to fraction form
    3,616.84/4,991.24 = 2,200.39/x
  3. Step 3: Cross multiply
    3,616.84x = 4,991.24 × 2,200.39
  4. Step 4: Simplify right side
    3,616.84x = 10,982,674.58
  5. Step 5: Solve for x
    x = 10,982,674.58/3,616.84
  6. Step 6: Final answer
    x = 3,036.54

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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.