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Finding the Fourth Proportional to 5,215.62, 7,198.25 and 2,976.99

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Solution

The fourth proportional to 5,215.62, 7,198.25 and 2,976.99 is: 4,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.62 : 7,198.25 = 2,976.99 : x
  2. Step 2: Convert to fraction form
    5,215.62/7,198.25 = 2,976.99/x
  3. Step 3: Cross multiply
    5,215.62x = 7,198.25 × 2,976.99
  4. Step 4: Simplify right side
    5,215.62x = 21,429,103.38
  5. Step 5: Solve for x
    x = 21,429,103.38/5,215.62
  6. Step 6: Final answer
    x = 4,108.64

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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.