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Finding the Fourth Proportional to 5,200.21, 7,176.21 and 2,842.33

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Solution

The fourth proportional to 5,200.21, 7,176.21 and 2,842.33 is: 3,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.21 : 7,176.21 = 2,842.33 : x
  2. Step 2: Convert to fraction form
    5,200.21/7,176.21 = 2,842.33/x
  3. Step 3: Cross multiply
    5,200.21x = 7,176.21 × 2,842.33
  4. Step 4: Simplify right side
    5,200.21x = 20,397,156.97
  5. Step 5: Solve for x
    x = 20,397,156.97/5,200.21
  6. Step 6: Final answer
    x = 3,922.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.