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Finding the Fourth Proportional to 4,196.85, 6,289.15 and 3,735.56

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Solution

The fourth proportional to 4,196.85, 6,289.15 and 3,735.56 is: 5,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.85 : 6,289.15 = 3,735.56 : x
  2. Step 2: Convert to fraction form
    4,196.85/6,289.15 = 3,735.56/x
  3. Step 3: Cross multiply
    4,196.85x = 6,289.15 × 3,735.56
  4. Step 4: Simplify right side
    4,196.85x = 23,493,465.73
  5. Step 5: Solve for x
    x = 23,493,465.73/4,196.85
  6. Step 6: Final answer
    x = 5,597.88

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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.