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Finding the Fourth Proportional to 3,692.34, 5,095.44 and 2,013.75

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Solution

The fourth proportional to 3,692.34, 5,095.44 and 2,013.75 is: 2,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.34 : 5,095.44 = 2,013.75 : x
  2. Step 2: Convert to fraction form
    3,692.34/5,095.44 = 2,013.75/x
  3. Step 3: Cross multiply
    3,692.34x = 5,095.44 × 2,013.75
  4. Step 4: Simplify right side
    3,692.34x = 10,260,942.30
  5. Step 5: Solve for x
    x = 10,260,942.30/3,692.34
  6. Step 6: Final answer
    x = 2,778.98

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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.