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Finding the Fourth Proportional to 3,923.70, 5,882.22 and 2,278.26

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Solution

The fourth proportional to 3,923.70, 5,882.22 and 2,278.26 is: 3,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.70 : 5,882.22 = 2,278.26 : x
  2. Step 2: Convert to fraction form
    3,923.70/5,882.22 = 2,278.26/x
  3. Step 3: Cross multiply
    3,923.70x = 5,882.22 × 2,278.26
  4. Step 4: Simplify right side
    3,923.70x = 13,401,226.54
  5. Step 5: Solve for x
    x = 13,401,226.54/3,923.70
  6. Step 6: Final answer
    x = 3,415.46

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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.