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Finding the Fourth Proportional to 3,692.94, 5,096.38 and 2,014.44

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Solution

The fourth proportional to 3,692.94, 5,096.38 and 2,014.44 is: 2,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.94 : 5,096.38 = 2,014.44 : x
  2. Step 2: Convert to fraction form
    3,692.94/5,096.38 = 2,014.44/x
  3. Step 3: Cross multiply
    3,692.94x = 5,096.38 × 2,014.44
  4. Step 4: Simplify right side
    3,692.94x = 10,266,351.73
  5. Step 5: Solve for x
    x = 10,266,351.73/3,692.94
  6. Step 6: Final answer
    x = 2,779.99

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1.5x scale

Why These Related Problems?

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