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Finding the Fourth Proportional to 3,850.56, 5,307.84 and 2,839.68

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Solution

The fourth proportional to 3,850.56, 5,307.84 and 2,839.68 is: 3,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.56 : 5,307.84 = 2,839.68 : x
  2. Step 2: Convert to fraction form
    3,850.56/5,307.84 = 2,839.68/x
  3. Step 3: Cross multiply
    3,850.56x = 5,307.84 × 2,839.68
  4. Step 4: Simplify right side
    3,850.56x = 15,072,567.09
  5. Step 5: Solve for x
    x = 15,072,567.09/3,850.56
  6. Step 6: Final answer
    x = 3,914.38

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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.