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Finding the Fourth Proportional to 3,652.94, 5,041.32 and 2,081.14

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Solution

The fourth proportional to 3,652.94, 5,041.32 and 2,081.14 is: 2,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.94 : 5,041.32 = 2,081.14 : x
  2. Step 2: Convert to fraction form
    3,652.94/5,041.32 = 2,081.14/x
  3. Step 3: Cross multiply
    3,652.94x = 5,041.32 × 2,081.14
  4. Step 4: Simplify right side
    3,652.94x = 10,491,692.70
  5. Step 5: Solve for x
    x = 10,491,692.70/3,652.94
  6. Step 6: Final answer
    x = 2,872.12

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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.