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Finding the Fourth Proportional to 3,777.62, 5,651.31 and 3,361.94

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Solution

The fourth proportional to 3,777.62, 5,651.31 and 3,361.94 is: 5,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.62 : 5,651.31 = 3,361.94 : x
  2. Step 2: Convert to fraction form
    3,777.62/5,651.31 = 3,361.94/x
  3. Step 3: Cross multiply
    3,777.62x = 5,651.31 × 3,361.94
  4. Step 4: Simplify right side
    3,777.62x = 18,999,365.14
  5. Step 5: Solve for x
    x = 18,999,365.14/3,777.62
  6. Step 6: Final answer
    x = 5,029.45

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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.