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Finding the Fourth Proportional to 3,449.44, 5,174.16 and 852.38

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Solution

The fourth proportional to 3,449.44, 5,174.16 and 852.38 is: 1,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.44 : 5,174.16 = 852.38 : x
  2. Step 2: Convert to fraction form
    3,449.44/5,174.16 = 852.38/x
  3. Step 3: Cross multiply
    3,449.44x = 5,174.16 × 852.38
  4. Step 4: Simplify right side
    3,449.44x = 4,410,350.50
  5. Step 5: Solve for x
    x = 4,410,350.50/3,449.44
  6. Step 6: Final answer
    x = 1,278.57

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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.