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Finding the Fourth Proportional to 3,351.72, 5,027.10 and 1,709.46

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Solution

The fourth proportional to 3,351.72, 5,027.10 and 1,709.46 is: 2,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.72 : 5,027.10 = 1,709.46 : x
  2. Step 2: Convert to fraction form
    3,351.72/5,027.10 = 1,709.46/x
  3. Step 3: Cross multiply
    3,351.72x = 5,027.10 × 1,709.46
  4. Step 4: Simplify right side
    3,351.72x = 8,593,626.37
  5. Step 5: Solve for x
    x = 8,593,626.37/3,351.72
  6. Step 6: Final answer
    x = 2,563.95

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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.