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Finding the Fourth Proportional to 3,797.14, 5,694.78 and 1,456.30

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Solution

The fourth proportional to 3,797.14, 5,694.78 and 1,456.30 is: 2,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.14 : 5,694.78 = 1,456.30 : x
  2. Step 2: Convert to fraction form
    3,797.14/5,694.78 = 1,456.30/x
  3. Step 3: Cross multiply
    3,797.14x = 5,694.78 × 1,456.30
  4. Step 4: Simplify right side
    3,797.14x = 8,293,308.11
  5. Step 5: Solve for x
    x = 8,293,308.11/3,797.14
  6. Step 6: Final answer
    x = 2,184.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.