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Finding the Fourth Proportional to 3,784, 5,221.74 and 2,105.32

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Solution

The fourth proportional to 3,784, 5,221.74 and 2,105.32 is: 2,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,221.74 = 2,105.32 : x
  2. Step 2: Convert to fraction form
    3,784/5,221.74 = 2,105.32/x
  3. Step 3: Cross multiply
    3,784x = 5,221.74 × 2,105.32
  4. Step 4: Simplify right side
    3,784x = 10,993,433.66
  5. Step 5: Solve for x
    x = 10,993,433.66/3,784
  6. Step 6: Final answer
    x = 2,905.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.