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Finding the Fourth Proportional to 3,776.77, 5,660.34 and 2,134.23

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Solution

The fourth proportional to 3,776.77, 5,660.34 and 2,134.23 is: 3,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.77 : 5,660.34 = 2,134.23 : x
  2. Step 2: Convert to fraction form
    3,776.77/5,660.34 = 2,134.23/x
  3. Step 3: Cross multiply
    3,776.77x = 5,660.34 × 2,134.23
  4. Step 4: Simplify right side
    3,776.77x = 12,080,467.44
  5. Step 5: Solve for x
    x = 12,080,467.44/3,776.77
  6. Step 6: Final answer
    x = 3,198.63

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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.