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Finding the Fourth Proportional to 3,884.80, 5,361.05 and 2,116.39

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Solution

The fourth proportional to 3,884.80, 5,361.05 and 2,116.39 is: 2,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.80 : 5,361.05 = 2,116.39 : x
  2. Step 2: Convert to fraction form
    3,884.80/5,361.05 = 2,116.39/x
  3. Step 3: Cross multiply
    3,884.80x = 5,361.05 × 2,116.39
  4. Step 4: Simplify right side
    3,884.80x = 11,346,072.61
  5. Step 5: Solve for x
    x = 11,346,072.61/3,884.80
  6. Step 6: Final answer
    x = 2,920.63

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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.