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Finding the Fourth Proportional to 3,777.35, 5,667.64 and 2,131.43

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Solution

The fourth proportional to 3,777.35, 5,667.64 and 2,131.43 is: 3,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.35 : 5,667.64 = 2,131.43 : x
  2. Step 2: Convert to fraction form
    3,777.35/5,667.64 = 2,131.43/x
  3. Step 3: Cross multiply
    3,777.35x = 5,667.64 × 2,131.43
  4. Step 4: Simplify right side
    3,777.35x = 12,080,144.26
  5. Step 5: Solve for x
    x = 12,080,144.26/3,777.35
  6. Step 6: Final answer
    x = 3,198.05

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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.