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Finding the Fourth Proportional to 3,891.20, 5,825.84 and 3,497.54

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Solution

The fourth proportional to 3,891.20, 5,825.84 and 3,497.54 is: 5,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.20 : 5,825.84 = 3,497.54 : x
  2. Step 2: Convert to fraction form
    3,891.20/5,825.84 = 3,497.54/x
  3. Step 3: Cross multiply
    3,891.20x = 5,825.84 × 3,497.54
  4. Step 4: Simplify right side
    3,891.20x = 20,376,108.43
  5. Step 5: Solve for x
    x = 20,376,108.43/3,891.20
  6. Step 6: Final answer
    x = 5,236.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.