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Finding the Fourth Proportional to 5,224.22, 7,209.36 and 2,866.28

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Solution

The fourth proportional to 5,224.22, 7,209.36 and 2,866.28 is: 3,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.22 : 7,209.36 = 2,866.28 : x
  2. Step 2: Convert to fraction form
    5,224.22/7,209.36 = 2,866.28/x
  3. Step 3: Cross multiply
    5,224.22x = 7,209.36 × 2,866.28
  4. Step 4: Simplify right side
    5,224.22x = 20,664,044.38
  5. Step 5: Solve for x
    x = 20,664,044.38/5,224.22
  6. Step 6: Final answer
    x = 3,955.43

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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.