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Finding the Fourth Proportional to 4,667.38, 6,440.73 and 2,571.34

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Solution

The fourth proportional to 4,667.38, 6,440.73 and 2,571.34 is: 3,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.38 : 6,440.73 = 2,571.34 : x
  2. Step 2: Convert to fraction form
    4,667.38/6,440.73 = 2,571.34/x
  3. Step 3: Cross multiply
    4,667.38x = 6,440.73 × 2,571.34
  4. Step 4: Simplify right side
    4,667.38x = 16,561,306.68
  5. Step 5: Solve for x
    x = 16,561,306.68/4,667.38
  6. Step 6: Final answer
    x = 3,548.31

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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.