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Finding the Fourth Proportional to 5,224.29, 7,209.16 and 2,865.97

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Solution

The fourth proportional to 5,224.29, 7,209.16 and 2,865.97 is: 3,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.29 : 7,209.16 = 2,865.97 : x
  2. Step 2: Convert to fraction form
    5,224.29/7,209.16 = 2,865.97/x
  3. Step 3: Cross multiply
    5,224.29x = 7,209.16 × 2,865.97
  4. Step 4: Simplify right side
    5,224.29x = 20,661,236.29
  5. Step 5: Solve for x
    x = 20,661,236.29/5,224.29
  6. Step 6: Final answer
    x = 3,954.84

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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.