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Finding the Fourth Proportional to 4,082.99, 5,634.52 and 2,489.64

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Solution

The fourth proportional to 4,082.99, 5,634.52 and 2,489.64 is: 3,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.99 : 5,634.52 = 2,489.64 : x
  2. Step 2: Convert to fraction form
    4,082.99/5,634.52 = 2,489.64/x
  3. Step 3: Cross multiply
    4,082.99x = 5,634.52 × 2,489.64
  4. Step 4: Simplify right side
    4,082.99x = 14,027,908.36
  5. Step 5: Solve for x
    x = 14,027,908.36/4,082.99
  6. Step 6: Final answer
    x = 3,435.70

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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.