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Finding the Fourth Proportional to 3,891.16, 5,825.46 and 3,026.20

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Solution

The fourth proportional to 3,891.16, 5,825.46 and 3,026.20 is: 4,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.16 : 5,825.46 = 3,026.20 : x
  2. Step 2: Convert to fraction form
    3,891.16/5,825.46 = 3,026.20/x
  3. Step 3: Cross multiply
    3,891.16x = 5,825.46 × 3,026.20
  4. Step 4: Simplify right side
    3,891.16x = 17,629,007.05
  5. Step 5: Solve for x
    x = 17,629,007.05/3,891.16
  6. Step 6: Final answer
    x = 4,530.53

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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.