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Finding the Fourth Proportional to 5,370.17, 8,067.60 and 3,813.95

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Solution

The fourth proportional to 5,370.17, 8,067.60 and 3,813.95 is: 5,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.17 : 8,067.60 = 3,813.95 : x
  2. Step 2: Convert to fraction form
    5,370.17/8,067.60 = 3,813.95/x
  3. Step 3: Cross multiply
    5,370.17x = 8,067.60 × 3,813.95
  4. Step 4: Simplify right side
    5,370.17x = 30,769,443.19
  5. Step 5: Solve for x
    x = 30,769,443.19/5,370.17
  6. Step 6: Final answer
    x = 5,729.70

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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.