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Finding the Fourth Proportional to 3,884.69, 5,361.01 and 2,206.05

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Solution

The fourth proportional to 3,884.69, 5,361.01 and 2,206.05 is: 3,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.69 : 5,361.01 = 2,206.05 : x
  2. Step 2: Convert to fraction form
    3,884.69/5,361.01 = 2,206.05/x
  3. Step 3: Cross multiply
    3,884.69x = 5,361.01 × 2,206.05
  4. Step 4: Simplify right side
    3,884.69x = 11,826,656.11
  5. Step 5: Solve for x
    x = 11,826,656.11/3,884.69
  6. Step 6: Final answer
    x = 3,044.43

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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.