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Finding the Fourth Proportional to 5,692.41, 8,537.27 and 1,796.85

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Solution

The fourth proportional to 5,692.41, 8,537.27 and 1,796.85 is: 2,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.41 : 8,537.27 = 1,796.85 : x
  2. Step 2: Convert to fraction form
    5,692.41/8,537.27 = 1,796.85/x
  3. Step 3: Cross multiply
    5,692.41x = 8,537.27 × 1,796.85
  4. Step 4: Simplify right side
    5,692.41x = 15,340,184.62
  5. Step 5: Solve for x
    x = 15,340,184.62/5,692.41
  6. Step 6: Final answer
    x = 2,694.85

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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.