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Finding the Fourth Proportional to 4,157.75, 6,238.44 and 3,844.28

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Solution

The fourth proportional to 4,157.75, 6,238.44 and 3,844.28 is: 5,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.75 : 6,238.44 = 3,844.28 : x
  2. Step 2: Convert to fraction form
    4,157.75/6,238.44 = 3,844.28/x
  3. Step 3: Cross multiply
    4,157.75x = 6,238.44 × 3,844.28
  4. Step 4: Simplify right side
    4,157.75x = 23,982,278.93
  5. Step 5: Solve for x
    x = 23,982,278.93/4,157.75
  6. Step 6: Final answer
    x = 5,768.10

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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.