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Finding the Fourth Proportional to 3,863.24, 5,784.56 and 2,633.06

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Solution

The fourth proportional to 3,863.24, 5,784.56 and 2,633.06 is: 3,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.24 : 5,784.56 = 2,633.06 : x
  2. Step 2: Convert to fraction form
    3,863.24/5,784.56 = 2,633.06/x
  3. Step 3: Cross multiply
    3,863.24x = 5,784.56 × 2,633.06
  4. Step 4: Simplify right side
    3,863.24x = 15,231,093.55
  5. Step 5: Solve for x
    x = 15,231,093.55/3,863.24
  6. Step 6: Final answer
    x = 3,942.57

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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.