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Finding the Fourth Proportional to 6,082.34, 8,392.19 and 3,692.26

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Solution

The fourth proportional to 6,082.34, 8,392.19 and 3,692.26 is: 5,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.34 : 8,392.19 = 3,692.26 : x
  2. Step 2: Convert to fraction form
    6,082.34/8,392.19 = 3,692.26/x
  3. Step 3: Cross multiply
    6,082.34x = 8,392.19 × 3,692.26
  4. Step 4: Simplify right side
    6,082.34x = 30,986,108.01
  5. Step 5: Solve for x
    x = 30,986,108.01/6,082.34
  6. Step 6: Final answer
    x = 5,094.44

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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.