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Finding the Fourth Proportional to 3,858.67, 5,322.24 and 2,367.31

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Solution

The fourth proportional to 3,858.67, 5,322.24 and 2,367.31 is: 3,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.67 : 5,322.24 = 2,367.31 : x
  2. Step 2: Convert to fraction form
    3,858.67/5,322.24 = 2,367.31/x
  3. Step 3: Cross multiply
    3,858.67x = 5,322.24 × 2,367.31
  4. Step 4: Simplify right side
    3,858.67x = 12,599,365.36
  5. Step 5: Solve for x
    x = 12,599,365.36/3,858.67
  6. Step 6: Final answer
    x = 3,265.21

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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.