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Finding the Fourth Proportional to 3,238.95, 4,858.09 and 1,047.69

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Solution

The fourth proportional to 3,238.95, 4,858.09 and 1,047.69 is: 1,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.95 : 4,858.09 = 1,047.69 : x
  2. Step 2: Convert to fraction form
    3,238.95/4,858.09 = 1,047.69/x
  3. Step 3: Cross multiply
    3,238.95x = 4,858.09 × 1,047.69
  4. Step 4: Simplify right side
    3,238.95x = 5,089,772.31
  5. Step 5: Solve for x
    x = 5,089,772.31/3,238.95
  6. Step 6: Final answer
    x = 1,571.43

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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.