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Finding the Fourth Proportional to 3,789.26, 5,684.19 and 1,324.02

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Solution

The fourth proportional to 3,789.26, 5,684.19 and 1,324.02 is: 1,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.26 : 5,684.19 = 1,324.02 : x
  2. Step 2: Convert to fraction form
    3,789.26/5,684.19 = 1,324.02/x
  3. Step 3: Cross multiply
    3,789.26x = 5,684.19 × 1,324.02
  4. Step 4: Simplify right side
    3,789.26x = 7,525,974.62
  5. Step 5: Solve for x
    x = 7,525,974.62/3,789.26
  6. Step 6: Final answer
    x = 1,986.14

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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.