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Finding the Fourth Proportional to 4,324.86, 6,487.46 and 1,692.26

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Solution

The fourth proportional to 4,324.86, 6,487.46 and 1,692.26 is: 2,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.86 : 6,487.46 = 1,692.26 : x
  2. Step 2: Convert to fraction form
    4,324.86/6,487.46 = 1,692.26/x
  3. Step 3: Cross multiply
    4,324.86x = 6,487.46 × 1,692.26
  4. Step 4: Simplify right side
    4,324.86x = 10,978,469.06
  5. Step 5: Solve for x
    x = 10,978,469.06/4,324.86
  6. Step 6: Final answer
    x = 2,538.46

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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.