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Finding the Fourth Proportional to 3,467.85, 5,198.85 and 1,617.99

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Solution

The fourth proportional to 3,467.85, 5,198.85 and 1,617.99 is: 2,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.85 : 5,198.85 = 1,617.99 : x
  2. Step 2: Convert to fraction form
    3,467.85/5,198.85 = 1,617.99/x
  3. Step 3: Cross multiply
    3,467.85x = 5,198.85 × 1,617.99
  4. Step 4: Simplify right side
    3,467.85x = 8,411,687.31
  5. Step 5: Solve for x
    x = 8,411,687.31/3,467.85
  6. Step 6: Final answer
    x = 2,425.62

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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.