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Finding the Fourth Proportional to 3,958.84, 5,463.48 and 2,257.30

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Solution

The fourth proportional to 3,958.84, 5,463.48 and 2,257.30 is: 3,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.84 : 5,463.48 = 2,257.30 : x
  2. Step 2: Convert to fraction form
    3,958.84/5,463.48 = 2,257.30/x
  3. Step 3: Cross multiply
    3,958.84x = 5,463.48 × 2,257.30
  4. Step 4: Simplify right side
    3,958.84x = 12,332,713.40
  5. Step 5: Solve for x
    x = 12,332,713.40/3,958.84
  6. Step 6: Final answer
    x = 3,115.23

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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.