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Finding the Fourth Proportional to 5,223.69, 7,212.11 and 3,237.17

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Solution

The fourth proportional to 5,223.69, 7,212.11 and 3,237.17 is: 4,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.69 : 7,212.11 = 3,237.17 : x
  2. Step 2: Convert to fraction form
    5,223.69/7,212.11 = 3,237.17/x
  3. Step 3: Cross multiply
    5,223.69x = 7,212.11 × 3,237.17
  4. Step 4: Simplify right side
    5,223.69x = 23,346,773.88
  5. Step 5: Solve for x
    x = 23,346,773.88/5,223.69
  6. Step 6: Final answer
    x = 4,469.40

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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.