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Finding the Fourth Proportional to 3,692.20, 5,537.76 and 3,071.44

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Solution

The fourth proportional to 3,692.20, 5,537.76 and 3,071.44 is: 4,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.20 : 5,537.76 = 3,071.44 : x
  2. Step 2: Convert to fraction form
    3,692.20/5,537.76 = 3,071.44/x
  3. Step 3: Cross multiply
    3,692.20x = 5,537.76 × 3,071.44
  4. Step 4: Simplify right side
    3,692.20x = 17,008,897.57
  5. Step 5: Solve for x
    x = 17,008,897.57/3,692.20
  6. Step 6: Final answer
    x = 4,606.71

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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.