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Finding the Fourth Proportional to 3,653.25, 5,041.49 and 2,082.26

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Solution

The fourth proportional to 3,653.25, 5,041.49 and 2,082.26 is: 2,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.25 : 5,041.49 = 2,082.26 : x
  2. Step 2: Convert to fraction form
    3,653.25/5,041.49 = 2,082.26/x
  3. Step 3: Cross multiply
    3,653.25x = 5,041.49 × 2,082.26
  4. Step 4: Simplify right side
    3,653.25x = 10,497,692.97
  5. Step 5: Solve for x
    x = 10,497,692.97/3,653.25
  6. Step 6: Final answer
    x = 2,873.52

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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.