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Finding the Fourth Proportional to 3,863.24, 5,796.31 and 1,784.24

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Solution

The fourth proportional to 3,863.24, 5,796.31 and 1,784.24 is: 2,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.24 : 5,796.31 = 1,784.24 : x
  2. Step 2: Convert to fraction form
    3,863.24/5,796.31 = 1,784.24/x
  3. Step 3: Cross multiply
    3,863.24x = 5,796.31 × 1,784.24
  4. Step 4: Simplify right side
    3,863.24x = 10,342,008.15
  5. Step 5: Solve for x
    x = 10,342,008.15/3,863.24
  6. Step 6: Final answer
    x = 2,677.03

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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.