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Finding the Fourth Proportional to 5,445.73, 8,166 and 3,194.94

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Solution

The fourth proportional to 5,445.73, 8,166 and 3,194.94 is: 4,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.73 : 8,166 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    5,445.73/8,166 = 3,194.94/x
  3. Step 3: Cross multiply
    5,445.73x = 8,166 × 3,194.94
  4. Step 4: Simplify right side
    5,445.73x = 26,089,880.04
  5. Step 5: Solve for x
    x = 26,089,880.04/5,445.73
  6. Step 6: Final answer
    x = 4,790.89

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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.