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Finding the Fourth Proportional to 3,047.24, 4,571.37 and 1,198.37

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Solution

The fourth proportional to 3,047.24, 4,571.37 and 1,198.37 is: 1,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.24 : 4,571.37 = 1,198.37 : x
  2. Step 2: Convert to fraction form
    3,047.24/4,571.37 = 1,198.37/x
  3. Step 3: Cross multiply
    3,047.24x = 4,571.37 × 1,198.37
  4. Step 4: Simplify right side
    3,047.24x = 5,478,169.81
  5. Step 5: Solve for x
    x = 5,478,169.81/3,047.24
  6. Step 6: Final answer
    x = 1,797.75

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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.