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Finding the Fourth Proportional to 5,419.49, 7,479.41 and 3,294.54

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Solution

The fourth proportional to 5,419.49, 7,479.41 and 3,294.54 is: 4,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.49 : 7,479.41 = 3,294.54 : x
  2. Step 2: Convert to fraction form
    5,419.49/7,479.41 = 3,294.54/x
  3. Step 3: Cross multiply
    5,419.49x = 7,479.41 × 3,294.54
  4. Step 4: Simplify right side
    5,419.49x = 24,641,198.95
  5. Step 5: Solve for x
    x = 24,641,198.95/5,419.49
  6. Step 6: Final answer
    x = 4,546.78

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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.