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Finding the Fourth Proportional to 3,238.56, 4,858.38 and 1,047.24

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Solution

The fourth proportional to 3,238.56, 4,858.38 and 1,047.24 is: 1,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.56 : 4,858.38 = 1,047.24 : x
  2. Step 2: Convert to fraction form
    3,238.56/4,858.38 = 1,047.24/x
  3. Step 3: Cross multiply
    3,238.56x = 4,858.38 × 1,047.24
  4. Step 4: Simplify right side
    3,238.56x = 5,087,889.87
  5. Step 5: Solve for x
    x = 5,087,889.87/3,238.56
  6. Step 6: Final answer
    x = 1,571.03

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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.