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Finding the Fourth Proportional to 2,850.84, 3,936.38 and 2,569.95

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Solution

The fourth proportional to 2,850.84, 3,936.38 and 2,569.95 is: 3,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.84 : 3,936.38 = 2,569.95 : x
  2. Step 2: Convert to fraction form
    2,850.84/3,936.38 = 2,569.95/x
  3. Step 3: Cross multiply
    2,850.84x = 3,936.38 × 2,569.95
  4. Step 4: Simplify right side
    2,850.84x = 10,116,286.93
  5. Step 5: Solve for x
    x = 10,116,286.93/2,850.84
  6. Step 6: Final answer
    x = 3,548.53

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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.