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Finding the Fourth Proportional to 5,692.21, 8,542.19 and 3,494.23

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Solution

The fourth proportional to 5,692.21, 8,542.19 and 3,494.23 is: 5,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.21 : 8,542.19 = 3,494.23 : x
  2. Step 2: Convert to fraction form
    5,692.21/8,542.19 = 3,494.23/x
  3. Step 3: Cross multiply
    5,692.21x = 8,542.19 × 3,494.23
  4. Step 4: Simplify right side
    5,692.21x = 29,848,376.56
  5. Step 5: Solve for x
    x = 29,848,376.56/5,692.21
  6. Step 6: Final answer
    x = 5,243.72

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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.