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Finding the Fourth Proportional to 3,692.67, 5,105.00 and 3,537.76

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Solution

The fourth proportional to 3,692.67, 5,105.00 and 3,537.76 is: 4,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.67 : 5,105.00 = 3,537.76 : x
  2. Step 2: Convert to fraction form
    3,692.67/5,105.00 = 3,537.76/x
  3. Step 3: Cross multiply
    3,692.67x = 5,105.00 × 3,537.76
  4. Step 4: Simplify right side
    3,692.67x = 18,060,260.50
  5. Step 5: Solve for x
    x = 18,060,260.50/3,692.67
  6. Step 6: Final answer
    x = 4,890.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.