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Finding the Fourth Proportional to 5,716.20, 7,884.82 and 3,922.86

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Solution

The fourth proportional to 5,716.20, 7,884.82 and 3,922.86 is: 5,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.20 : 7,884.82 = 3,922.86 : x
  2. Step 2: Convert to fraction form
    5,716.20/7,884.82 = 3,922.86/x
  3. Step 3: Cross multiply
    5,716.20x = 7,884.82 × 3,922.86
  4. Step 4: Simplify right side
    5,716.20x = 30,930,985.95
  5. Step 5: Solve for x
    x = 30,930,985.95/5,716.20
  6. Step 6: Final answer
    x = 5,411.11

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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.