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Finding the Fourth Proportional to 4,692.80, 7,047.26 and 4,166.90

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Solution

The fourth proportional to 4,692.80, 7,047.26 and 4,166.90 is: 6,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.80 : 7,047.26 = 4,166.90 : x
  2. Step 2: Convert to fraction form
    4,692.80/7,047.26 = 4,166.90/x
  3. Step 3: Cross multiply
    4,692.80x = 7,047.26 × 4,166.90
  4. Step 4: Simplify right side
    4,692.80x = 29,365,255.73
  5. Step 5: Solve for x
    x = 29,365,255.73/4,692.80
  6. Step 6: Final answer
    x = 6,257.51

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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.