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Finding the Fourth Proportional to 6,801.44, 10,202.20 and 2,419.24

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Solution

The fourth proportional to 6,801.44, 10,202.20 and 2,419.24 is: 3,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.44 : 10,202.20 = 2,419.24 : x
  2. Step 2: Convert to fraction form
    6,801.44/10,202.20 = 2,419.24/x
  3. Step 3: Cross multiply
    6,801.44x = 10,202.20 × 2,419.24
  4. Step 4: Simplify right side
    6,801.44x = 24,681,600.21
  5. Step 5: Solve for x
    x = 24,681,600.21/6,801.44
  6. Step 6: Final answer
    x = 3,628.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.