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Finding the Fourth Proportional to 3,963.82, 5,470 and 2,195.42

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Solution

The fourth proportional to 3,963.82, 5,470 and 2,195.42 is: 3,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.82 : 5,470 = 2,195.42 : x
  2. Step 2: Convert to fraction form
    3,963.82/5,470 = 2,195.42/x
  3. Step 3: Cross multiply
    3,963.82x = 5,470 × 2,195.42
  4. Step 4: Simplify right side
    3,963.82x = 12,008,947.40
  5. Step 5: Solve for x
    x = 12,008,947.40/3,963.82
  6. Step 6: Final answer
    x = 3,029.64

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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.