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Finding the Fourth Proportional to 4,202.57, 6,305.97 and 1,739.15

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Solution

The fourth proportional to 4,202.57, 6,305.97 and 1,739.15 is: 2,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.57 : 6,305.97 = 1,739.15 : x
  2. Step 2: Convert to fraction form
    4,202.57/6,305.97 = 1,739.15/x
  3. Step 3: Cross multiply
    4,202.57x = 6,305.97 × 1,739.15
  4. Step 4: Simplify right side
    4,202.57x = 10,967,027.73
  5. Step 5: Solve for x
    x = 10,967,027.73/4,202.57
  6. Step 6: Final answer
    x = 2,609.60

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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.