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Finding the Fourth Proportional to 3,813.14, 5,715.45 and 3,375.54

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Solution

The fourth proportional to 3,813.14, 5,715.45 and 3,375.54 is: 5,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.14 : 5,715.45 = 3,375.54 : x
  2. Step 2: Convert to fraction form
    3,813.14/5,715.45 = 3,375.54/x
  3. Step 3: Cross multiply
    3,813.14x = 5,715.45 × 3,375.54
  4. Step 4: Simplify right side
    3,813.14x = 19,292,730.09
  5. Step 5: Solve for x
    x = 19,292,730.09/3,813.14
  6. Step 6: Final answer
    x = 5,059.54

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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.