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Finding the Fourth Proportional to 3,449.56, 5,174.34 and 852.46

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Solution

The fourth proportional to 3,449.56, 5,174.34 and 852.46 is: 1,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.56 : 5,174.34 = 852.46 : x
  2. Step 2: Convert to fraction form
    3,449.56/5,174.34 = 852.46/x
  3. Step 3: Cross multiply
    3,449.56x = 5,174.34 × 852.46
  4. Step 4: Simplify right side
    3,449.56x = 4,410,917.88
  5. Step 5: Solve for x
    x = 4,410,917.88/3,449.56
  6. Step 6: Final answer
    x = 1,278.69

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1.5x scale

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.