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Finding the Fourth Proportional to 3,883.09, 5,824.94 and 1,286.03

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Solution

The fourth proportional to 3,883.09, 5,824.94 and 1,286.03 is: 1,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.09 : 5,824.94 = 1,286.03 : x
  2. Step 2: Convert to fraction form
    3,883.09/5,824.94 = 1,286.03/x
  3. Step 3: Cross multiply
    3,883.09x = 5,824.94 × 1,286.03
  4. Step 4: Simplify right side
    3,883.09x = 7,491,047.59
  5. Step 5: Solve for x
    x = 7,491,047.59/3,883.09
  6. Step 6: Final answer
    x = 1,929.15

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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.