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Finding the Fourth Proportional to 6,278.80, 9,419.24 and 2,119.20

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Solution

The fourth proportional to 6,278.80, 9,419.24 and 2,119.20 is: 3,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.80 : 9,419.24 = 2,119.20 : x
  2. Step 2: Convert to fraction form
    6,278.80/9,419.24 = 2,119.20/x
  3. Step 3: Cross multiply
    6,278.80x = 9,419.24 × 2,119.20
  4. Step 4: Simplify right side
    6,278.80x = 19,961,253.41
  5. Step 5: Solve for x
    x = 19,961,253.41/6,278.80
  6. Step 6: Final answer
    x = 3,179.15

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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.