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Finding the Fourth Proportional to 3,682.62, 5,082.06 and 2,004.08

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Solution

The fourth proportional to 3,682.62, 5,082.06 and 2,004.08 is: 2,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.62 : 5,082.06 = 2,004.08 : x
  2. Step 2: Convert to fraction form
    3,682.62/5,082.06 = 2,004.08/x
  3. Step 3: Cross multiply
    3,682.62x = 5,082.06 × 2,004.08
  4. Step 4: Simplify right side
    3,682.62x = 10,184,829.39
  5. Step 5: Solve for x
    x = 10,184,829.39/3,682.62
  6. Step 6: Final answer
    x = 2,765.65

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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.