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Finding the Fourth Proportional to 3,824, 5,277.76 and 2,168.96

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Solution

The fourth proportional to 3,824, 5,277.76 and 2,168.96 is: 2,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 5,277.76 = 2,168.96 : x
  2. Step 2: Convert to fraction form
    3,824/5,277.76 = 2,168.96/x
  3. Step 3: Cross multiply
    3,824x = 5,277.76 × 2,168.96
  4. Step 4: Simplify right side
    3,824x = 11,447,250.33
  5. Step 5: Solve for x
    x = 11,447,250.33/3,824
  6. Step 6: Final answer
    x = 2,993.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.