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Finding the Fourth Proportional to 5,212.22, 7,192.80 and 2,854.34

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Solution

The fourth proportional to 5,212.22, 7,192.80 and 2,854.34 is: 3,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.22 : 7,192.80 = 2,854.34 : x
  2. Step 2: Convert to fraction form
    5,212.22/7,192.80 = 2,854.34/x
  3. Step 3: Cross multiply
    5,212.22x = 7,192.80 × 2,854.34
  4. Step 4: Simplify right side
    5,212.22x = 20,530,696.75
  5. Step 5: Solve for x
    x = 20,530,696.75/5,212.22
  6. Step 6: Final answer
    x = 3,938.95

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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.