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Finding the Fourth Proportional to 3,863.08, 5,791.74 and 2,323.72

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Solution

The fourth proportional to 3,863.08, 5,791.74 and 2,323.72 is: 3,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.08 : 5,791.74 = 2,323.72 : x
  2. Step 2: Convert to fraction form
    3,863.08/5,791.74 = 2,323.72/x
  3. Step 3: Cross multiply
    3,863.08x = 5,791.74 × 2,323.72
  4. Step 4: Simplify right side
    3,863.08x = 13,458,382.07
  5. Step 5: Solve for x
    x = 13,458,382.07/3,863.08
  6. Step 6: Final answer
    x = 3,483.85

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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.