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Finding the Fourth Proportional to 3,464.62, 5,198.68 and 1,516.84

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Solution

The fourth proportional to 3,464.62, 5,198.68 and 1,516.84 is: 2,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.62 : 5,198.68 = 1,516.84 : x
  2. Step 2: Convert to fraction form
    3,464.62/5,198.68 = 1,516.84/x
  3. Step 3: Cross multiply
    3,464.62x = 5,198.68 × 1,516.84
  4. Step 4: Simplify right side
    3,464.62x = 7,885,535.99
  5. Step 5: Solve for x
    x = 7,885,535.99/3,464.62
  6. Step 6: Final answer
    x = 2,276.02

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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.