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Finding the Fourth Proportional to 3,825.42, 5,741.73 and 2,367.42

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Solution

The fourth proportional to 3,825.42, 5,741.73 and 2,367.42 is: 3,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.42 : 5,741.73 = 2,367.42 : x
  2. Step 2: Convert to fraction form
    3,825.42/5,741.73 = 2,367.42/x
  3. Step 3: Cross multiply
    3,825.42x = 5,741.73 × 2,367.42
  4. Step 4: Simplify right side
    3,825.42x = 13,593,086.44
  5. Step 5: Solve for x
    x = 13,593,086.44/3,825.42
  6. Step 6: Final answer
    x = 3,553.36

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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.