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Finding the Fourth Proportional to 4,965.34, 6,850.49 and 2,839.36

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Solution

The fourth proportional to 4,965.34, 6,850.49 and 2,839.36 is: 3,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.34 : 6,850.49 = 2,839.36 : x
  2. Step 2: Convert to fraction form
    4,965.34/6,850.49 = 2,839.36/x
  3. Step 3: Cross multiply
    4,965.34x = 6,850.49 × 2,839.36
  4. Step 4: Simplify right side
    4,965.34x = 19,450,973.03
  5. Step 5: Solve for x
    x = 19,450,973.03/4,965.34
  6. Step 6: Final answer
    x = 3,917.35

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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.