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Finding the Fourth Proportional to 5,193.97, 7,790.88 and 2,419.09

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Solution

The fourth proportional to 5,193.97, 7,790.88 and 2,419.09 is: 3,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.97 : 7,790.88 = 2,419.09 : x
  2. Step 2: Convert to fraction form
    5,193.97/7,790.88 = 2,419.09/x
  3. Step 3: Cross multiply
    5,193.97x = 7,790.88 × 2,419.09
  4. Step 4: Simplify right side
    5,193.97x = 18,846,839.90
  5. Step 5: Solve for x
    x = 18,846,839.90/5,193.97
  6. Step 6: Final answer
    x = 3,628.60

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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.