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Finding the Fourth Proportional to 3,883.45, 5,825.76 and 1,286.99

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Solution

The fourth proportional to 3,883.45, 5,825.76 and 1,286.99 is: 1,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.45 : 5,825.76 = 1,286.99 : x
  2. Step 2: Convert to fraction form
    3,883.45/5,825.76 = 1,286.99/x
  3. Step 3: Cross multiply
    3,883.45x = 5,825.76 × 1,286.99
  4. Step 4: Simplify right side
    3,883.45x = 7,497,694.86
  5. Step 5: Solve for x
    x = 7,497,694.86/3,883.45
  6. Step 6: Final answer
    x = 1,930.68

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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.