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Finding the Fourth Proportional to 3,776.63, 5,664.94 and 2,737.17

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Solution

The fourth proportional to 3,776.63, 5,664.94 and 2,737.17 is: 4,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.63 : 5,664.94 = 2,737.17 : x
  2. Step 2: Convert to fraction form
    3,776.63/5,664.94 = 2,737.17/x
  3. Step 3: Cross multiply
    3,776.63x = 5,664.94 × 2,737.17
  4. Step 4: Simplify right side
    3,776.63x = 15,505,896.98
  5. Step 5: Solve for x
    x = 15,505,896.98/3,776.63
  6. Step 6: Final answer
    x = 4,105.76

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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.