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Finding the Fourth Proportional to 5,772.14, 7,964.42 and 3,414.44

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Solution

The fourth proportional to 5,772.14, 7,964.42 and 3,414.44 is: 4,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.14 : 7,964.42 = 3,414.44 : x
  2. Step 2: Convert to fraction form
    5,772.14/7,964.42 = 3,414.44/x
  3. Step 3: Cross multiply
    5,772.14x = 7,964.42 × 3,414.44
  4. Step 4: Simplify right side
    5,772.14x = 27,194,002.94
  5. Step 5: Solve for x
    x = 27,194,002.94/5,772.14
  6. Step 6: Final answer
    x = 4,711.25

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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.