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Finding the Fourth Proportional to 5,212.38, 7,193.04 and 2,822.36

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Solution

The fourth proportional to 5,212.38, 7,193.04 and 2,822.36 is: 3,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.38 : 7,193.04 = 2,822.36 : x
  2. Step 2: Convert to fraction form
    5,212.38/7,193.04 = 2,822.36/x
  3. Step 3: Cross multiply
    5,212.38x = 7,193.04 × 2,822.36
  4. Step 4: Simplify right side
    5,212.38x = 20,301,348.37
  5. Step 5: Solve for x
    x = 20,301,348.37/5,212.38
  6. Step 6: Final answer
    x = 3,894.83

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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.