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Finding the Fourth Proportional to 3,824, 5,277.20 and 2,168

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Solution

The fourth proportional to 3,824, 5,277.20 and 2,168 is: 2,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 5,277.20 = 2,168 : x
  2. Step 2: Convert to fraction form
    3,824/5,277.20 = 2,168/x
  3. Step 3: Cross multiply
    3,824x = 5,277.20 × 2,168
  4. Step 4: Simplify right side
    3,824x = 11,440,969.60
  5. Step 5: Solve for x
    x = 11,440,969.60/3,824
  6. Step 6: Final answer
    x = 2,991.89

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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.