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Finding the Fourth Proportional to 3,797.13, 5,236.21 and 2,538.19

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Solution

The fourth proportional to 3,797.13, 5,236.21 and 2,538.19 is: 3,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.13 : 5,236.21 = 2,538.19 : x
  2. Step 2: Convert to fraction form
    3,797.13/5,236.21 = 2,538.19/x
  3. Step 3: Cross multiply
    3,797.13x = 5,236.21 × 2,538.19
  4. Step 4: Simplify right side
    3,797.13x = 13,290,505.58
  5. Step 5: Solve for x
    x = 13,290,505.58/3,797.13
  6. Step 6: Final answer
    x = 3,500.14

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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.