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Finding the Fourth Proportional to 4,667.70, 6,441.37 and 2,571.78

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Solution

The fourth proportional to 4,667.70, 6,441.37 and 2,571.78 is: 3,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.70 : 6,441.37 = 2,571.78 : x
  2. Step 2: Convert to fraction form
    4,667.70/6,441.37 = 2,571.78/x
  3. Step 3: Cross multiply
    4,667.70x = 6,441.37 × 2,571.78
  4. Step 4: Simplify right side
    4,667.70x = 16,565,786.54
  5. Step 5: Solve for x
    x = 16,565,786.54/4,667.70
  6. Step 6: Final answer
    x = 3,549.03

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