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Finding the Fourth Proportional to 3,883.36, 5,825.10 and 1,286.36

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Solution

The fourth proportional to 3,883.36, 5,825.10 and 1,286.36 is: 1,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.36 : 5,825.10 = 1,286.36 : x
  2. Step 2: Convert to fraction form
    3,883.36/5,825.10 = 1,286.36/x
  3. Step 3: Cross multiply
    3,883.36x = 5,825.10 × 1,286.36
  4. Step 4: Simplify right side
    3,883.36x = 7,493,175.64
  5. Step 5: Solve for x
    x = 7,493,175.64/3,883.36
  6. Step 6: Final answer
    x = 1,929.56

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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.