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Finding the Fourth Proportional to 4,857.75, 7,287.50 and 3,215.66

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Solution

The fourth proportional to 4,857.75, 7,287.50 and 3,215.66 is: 4,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.75 : 7,287.50 = 3,215.66 : x
  2. Step 2: Convert to fraction form
    4,857.75/7,287.50 = 3,215.66/x
  3. Step 3: Cross multiply
    4,857.75x = 7,287.50 × 3,215.66
  4. Step 4: Simplify right side
    4,857.75x = 23,434,093.85
  5. Step 5: Solve for x
    x = 23,434,093.85/4,857.75
  6. Step 6: Final answer
    x = 4,824.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.