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Finding the Fourth Proportional to 4,667.16, 6,440.82 and 2,571.24

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Solution

The fourth proportional to 4,667.16, 6,440.82 and 2,571.24 is: 3,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.16 : 6,440.82 = 2,571.24 : x
  2. Step 2: Convert to fraction form
    4,667.16/6,440.82 = 2,571.24/x
  3. Step 3: Cross multiply
    4,667.16x = 6,440.82 × 2,571.24
  4. Step 4: Simplify right side
    4,667.16x = 16,560,894.02
  5. Step 5: Solve for x
    x = 16,560,894.02/4,667.16
  6. Step 6: Final answer
    x = 3,548.39

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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.