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Finding the Fourth Proportional to 3,791.63, 5,230.50 and 2,464.85

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Solution

The fourth proportional to 3,791.63, 5,230.50 and 2,464.85 is: 3,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.63 : 5,230.50 = 2,464.85 : x
  2. Step 2: Convert to fraction form
    3,791.63/5,230.50 = 2,464.85/x
  3. Step 3: Cross multiply
    3,791.63x = 5,230.50 × 2,464.85
  4. Step 4: Simplify right side
    3,791.63x = 12,892,397.93
  5. Step 5: Solve for x
    x = 12,892,397.93/3,791.63
  6. Step 6: Final answer
    x = 3,400.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.