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Finding the Fourth Proportional to 3,664.42, 5,495.39 and 1,198.63

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Solution

The fourth proportional to 3,664.42, 5,495.39 and 1,198.63 is: 1,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.42 : 5,495.39 = 1,198.63 : x
  2. Step 2: Convert to fraction form
    3,664.42/5,495.39 = 1,198.63/x
  3. Step 3: Cross multiply
    3,664.42x = 5,495.39 × 1,198.63
  4. Step 4: Simplify right side
    3,664.42x = 6,586,933.32
  5. Step 5: Solve for x
    x = 6,586,933.32/3,664.42
  6. Step 6: Final answer
    x = 1,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.