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Finding the Fourth Proportional to 3,797.34, 5,238.86 and 2,805

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Solution

The fourth proportional to 3,797.34, 5,238.86 and 2,805 is: 3,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.34 : 5,238.86 = 2,805 : x
  2. Step 2: Convert to fraction form
    3,797.34/5,238.86 = 2,805/x
  3. Step 3: Cross multiply
    3,797.34x = 5,238.86 × 2,805
  4. Step 4: Simplify right side
    3,797.34x = 14,695,002.30
  5. Step 5: Solve for x
    x = 14,695,002.30/3,797.34
  6. Step 6: Final answer
    x = 3,869.81

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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.