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Finding the Fourth Proportional to 5,215.69, 7,196.48 and 2,976.85

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Solution

The fourth proportional to 5,215.69, 7,196.48 and 2,976.85 is: 4,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.69 : 7,196.48 = 2,976.85 : x
  2. Step 2: Convert to fraction form
    5,215.69/7,196.48 = 2,976.85/x
  3. Step 3: Cross multiply
    5,215.69x = 7,196.48 × 2,976.85
  4. Step 4: Simplify right side
    5,215.69x = 21,422,816.05
  5. Step 5: Solve for x
    x = 21,422,816.05/5,215.69
  6. Step 6: Final answer
    x = 4,107.38

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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.