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Finding the Fourth Proportional to 5,215, 7,196.16 and 2,976.88

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Solution

The fourth proportional to 5,215, 7,196.16 and 2,976.88 is: 4,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,196.16 = 2,976.88 : x
  2. Step 2: Convert to fraction form
    5,215/7,196.16 = 2,976.88/x
  3. Step 3: Cross multiply
    5,215x = 7,196.16 × 2,976.88
  4. Step 4: Simplify right side
    5,215x = 21,422,104.78
  5. Step 5: Solve for x
    x = 21,422,104.78/5,215
  6. Step 6: Final answer
    x = 4,107.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.