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Finding the Fourth Proportional to 3,977.74, 5,961.34 and 2,003.37

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Solution

The fourth proportional to 3,977.74, 5,961.34 and 2,003.37 is: 3,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.74 : 5,961.34 = 2,003.37 : x
  2. Step 2: Convert to fraction form
    3,977.74/5,961.34 = 2,003.37/x
  3. Step 3: Cross multiply
    3,977.74x = 5,961.34 × 2,003.37
  4. Step 4: Simplify right side
    3,977.74x = 11,942,769.72
  5. Step 5: Solve for x
    x = 11,942,769.72/3,977.74
  6. Step 6: Final answer
    x = 3,002.40

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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.