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Finding the Fourth Proportional to 6,212.64, 8,571 and 3,974.04

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Solution

The fourth proportional to 6,212.64, 8,571 and 3,974.04 is: 5,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.64 : 8,571 = 3,974.04 : x
  2. Step 2: Convert to fraction form
    6,212.64/8,571 = 3,974.04/x
  3. Step 3: Cross multiply
    6,212.64x = 8,571 × 3,974.04
  4. Step 4: Simplify right side
    6,212.64x = 34,061,496.84
  5. Step 5: Solve for x
    x = 34,061,496.84/6,212.64
  6. Step 6: Final answer
    x = 5,482.61

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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.