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Finding the Fourth Proportional to 3,682.69, 5,082.08 and 2,190.58

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Solution

The fourth proportional to 3,682.69, 5,082.08 and 2,190.58 is: 3,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.69 : 5,082.08 = 2,190.58 : x
  2. Step 2: Convert to fraction form
    3,682.69/5,082.08 = 2,190.58/x
  3. Step 3: Cross multiply
    3,682.69x = 5,082.08 × 2,190.58
  4. Step 4: Simplify right side
    3,682.69x = 11,132,679.15
  5. Step 5: Solve for x
    x = 11,132,679.15/3,682.69
  6. Step 6: Final answer
    x = 3,022.98

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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.