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Finding the Fourth Proportional to 3,839.75, 5,297.91 and 2,347.12

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Solution

The fourth proportional to 3,839.75, 5,297.91 and 2,347.12 is: 3,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.75 : 5,297.91 = 2,347.12 : x
  2. Step 2: Convert to fraction form
    3,839.75/5,297.91 = 2,347.12/x
  3. Step 3: Cross multiply
    3,839.75x = 5,297.91 × 2,347.12
  4. Step 4: Simplify right side
    3,839.75x = 12,434,813.44
  5. Step 5: Solve for x
    x = 12,434,813.44/3,839.75
  6. Step 6: Final answer
    x = 3,238.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.