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Finding the Fourth Proportional to 3,797.57, 5,236.82 and 2,538.63

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Solution

The fourth proportional to 3,797.57, 5,236.82 and 2,538.63 is: 3,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.57 : 5,236.82 = 2,538.63 : x
  2. Step 2: Convert to fraction form
    3,797.57/5,236.82 = 2,538.63/x
  3. Step 3: Cross multiply
    3,797.57x = 5,236.82 × 2,538.63
  4. Step 4: Simplify right side
    3,797.57x = 13,294,335.66
  5. Step 5: Solve for x
    x = 13,294,335.66/3,797.57
  6. Step 6: Final answer
    x = 3,500.75

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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.