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Finding the Fourth Proportional to 4,667, 6,440.46 and 2,571.18

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Solution

The fourth proportional to 4,667, 6,440.46 and 2,571.18 is: 3,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667 : 6,440.46 = 2,571.18 : x
  2. Step 2: Convert to fraction form
    4,667/6,440.46 = 2,571.18/x
  3. Step 3: Cross multiply
    4,667x = 6,440.46 × 2,571.18
  4. Step 4: Simplify right side
    4,667x = 16,559,581.94
  5. Step 5: Solve for x
    x = 16,559,581.94/4,667
  6. Step 6: Final answer
    x = 3,548.23

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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.