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Finding the Fourth Proportional to 3,692.95, 5,096.75 and 2,121.05

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Solution

The fourth proportional to 3,692.95, 5,096.75 and 2,121.05 is: 2,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.95 : 5,096.75 = 2,121.05 : x
  2. Step 2: Convert to fraction form
    3,692.95/5,096.75 = 2,121.05/x
  3. Step 3: Cross multiply
    3,692.95x = 5,096.75 × 2,121.05
  4. Step 4: Simplify right side
    3,692.95x = 10,810,450.98
  5. Step 5: Solve for x
    x = 10,810,450.98/3,692.95
  6. Step 6: Final answer
    x = 2,927.33

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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.