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Finding the Fourth Proportional to 3,692.60, 5,085.42 and 3,611.96

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Solution

The fourth proportional to 3,692.60, 5,085.42 and 3,611.96 is: 4,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.60 : 5,085.42 = 3,611.96 : x
  2. Step 2: Convert to fraction form
    3,692.60/5,085.42 = 3,611.96/x
  3. Step 3: Cross multiply
    3,692.60x = 5,085.42 × 3,611.96
  4. Step 4: Simplify right side
    3,692.60x = 18,368,333.62
  5. Step 5: Solve for x
    x = 18,368,333.62/3,692.60
  6. Step 6: Final answer
    x = 4,974.36

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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.