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Finding the Fourth Proportional to 3,891.93, 5,833.32 and 1,425.16

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Solution

The fourth proportional to 3,891.93, 5,833.32 and 1,425.16 is: 2,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.93 : 5,833.32 = 1,425.16 : x
  2. Step 2: Convert to fraction form
    3,891.93/5,833.32 = 1,425.16/x
  3. Step 3: Cross multiply
    3,891.93x = 5,833.32 × 1,425.16
  4. Step 4: Simplify right side
    3,891.93x = 8,313,414.33
  5. Step 5: Solve for x
    x = 8,313,414.33/3,891.93
  6. Step 6: Final answer
    x = 2,136.06

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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.