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Finding the Fourth Proportional to 3,297.42, 4,936.41 and 1,994.94

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Solution

The fourth proportional to 3,297.42, 4,936.41 and 1,994.94 is: 2,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.42 : 4,936.41 = 1,994.94 : x
  2. Step 2: Convert to fraction form
    3,297.42/4,936.41 = 1,994.94/x
  3. Step 3: Cross multiply
    3,297.42x = 4,936.41 × 1,994.94
  4. Step 4: Simplify right side
    3,297.42x = 9,847,841.77
  5. Step 5: Solve for x
    x = 9,847,841.77/3,297.42
  6. Step 6: Final answer
    x = 2,986.53

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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.