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Finding the Fourth Proportional to 3,464.94, 5,198.22 and 2,369.82

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Solution

The fourth proportional to 3,464.94, 5,198.22 and 2,369.82 is: 3,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.94 : 5,198.22 = 2,369.82 : x
  2. Step 2: Convert to fraction form
    3,464.94/5,198.22 = 2,369.82/x
  3. Step 3: Cross multiply
    3,464.94x = 5,198.22 × 2,369.82
  4. Step 4: Simplify right side
    3,464.94x = 12,318,845.72
  5. Step 5: Solve for x
    x = 12,318,845.72/3,464.94
  6. Step 6: Final answer
    x = 3,555.28

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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.