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Finding the Fourth Proportional to 4,162.88, 5,744.87 and 2,274.44

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Solution

The fourth proportional to 4,162.88, 5,744.87 and 2,274.44 is: 3,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.88 : 5,744.87 = 2,274.44 : x
  2. Step 2: Convert to fraction form
    4,162.88/5,744.87 = 2,274.44/x
  3. Step 3: Cross multiply
    4,162.88x = 5,744.87 × 2,274.44
  4. Step 4: Simplify right side
    4,162.88x = 13,066,359.51
  5. Step 5: Solve for x
    x = 13,066,359.51/4,162.88
  6. Step 6: Final answer
    x = 3,138.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.