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Finding the Fourth Proportional to 3,846.07, 5,307.78 and 2,167.39

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Solution

The fourth proportional to 3,846.07, 5,307.78 and 2,167.39 is: 2,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.07 : 5,307.78 = 2,167.39 : x
  2. Step 2: Convert to fraction form
    3,846.07/5,307.78 = 2,167.39/x
  3. Step 3: Cross multiply
    3,846.07x = 5,307.78 × 2,167.39
  4. Step 4: Simplify right side
    3,846.07x = 11,504,029.29
  5. Step 5: Solve for x
    x = 11,504,029.29/3,846.07
  6. Step 6: Final answer
    x = 2,991.11

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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.