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Finding the Fourth Proportional to 5,722.12, 7,891.86 and 3,858.76

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Solution

The fourth proportional to 5,722.12, 7,891.86 and 3,858.76 is: 5,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.12 : 7,891.86 = 3,858.76 : x
  2. Step 2: Convert to fraction form
    5,722.12/7,891.86 = 3,858.76/x
  3. Step 3: Cross multiply
    5,722.12x = 7,891.86 × 3,858.76
  4. Step 4: Simplify right side
    5,722.12x = 30,452,793.69
  5. Step 5: Solve for x
    x = 30,452,793.69/5,722.12
  6. Step 6: Final answer
    x = 5,321.94

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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.