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Finding the Fourth Proportional to 4,857.86, 7,287.20 and 1,571.49

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Solution

The fourth proportional to 4,857.86, 7,287.20 and 1,571.49 is: 2,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.86 : 7,287.20 = 1,571.49 : x
  2. Step 2: Convert to fraction form
    4,857.86/7,287.20 = 1,571.49/x
  3. Step 3: Cross multiply
    4,857.86x = 7,287.20 × 1,571.49
  4. Step 4: Simplify right side
    4,857.86x = 11,451,754.07
  5. Step 5: Solve for x
    x = 11,451,754.07/4,857.86
  6. Step 6: Final answer
    x = 2,357.37

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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.