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Finding the Fourth Proportional to 5,769.60, 8,654.40 and 4,122.60

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Solution

The fourth proportional to 5,769.60, 8,654.40 and 4,122.60 is: 6,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.60 : 8,654.40 = 4,122.60 : x
  2. Step 2: Convert to fraction form
    5,769.60/8,654.40 = 4,122.60/x
  3. Step 3: Cross multiply
    5,769.60x = 8,654.40 × 4,122.60
  4. Step 4: Simplify right side
    5,769.60x = 35,678,629.44
  5. Step 5: Solve for x
    x = 35,678,629.44/5,769.60
  6. Step 6: Final answer
    x = 6,183.90

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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.