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Finding the Fourth Proportional to 5,845.68, 8,769.42 and 2,147.04

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Solution

The fourth proportional to 5,845.68, 8,769.42 and 2,147.04 is: 3,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.68 : 8,769.42 = 2,147.04 : x
  2. Step 2: Convert to fraction form
    5,845.68/8,769.42 = 2,147.04/x
  3. Step 3: Cross multiply
    5,845.68x = 8,769.42 × 2,147.04
  4. Step 4: Simplify right side
    5,845.68x = 18,828,295.52
  5. Step 5: Solve for x
    x = 18,828,295.52/5,845.68
  6. Step 6: Final answer
    x = 3,220.89

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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.