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Finding the Fourth Proportional to 3,418.67, 5,131.69 and 1,571.27

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Solution

The fourth proportional to 3,418.67, 5,131.69 and 1,571.27 is: 2,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.67 : 5,131.69 = 1,571.27 : x
  2. Step 2: Convert to fraction form
    3,418.67/5,131.69 = 1,571.27/x
  3. Step 3: Cross multiply
    3,418.67x = 5,131.69 × 1,571.27
  4. Step 4: Simplify right side
    3,418.67x = 8,063,240.96
  5. Step 5: Solve for x
    x = 8,063,240.96/3,418.67
  6. Step 6: Final answer
    x = 2,358.59

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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.