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Finding the Fourth Proportional to 4,589.92, 6,884.70 and 1,469.80

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Solution

The fourth proportional to 4,589.92, 6,884.70 and 1,469.80 is: 2,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.92 : 6,884.70 = 1,469.80 : x
  2. Step 2: Convert to fraction form
    4,589.92/6,884.70 = 1,469.80/x
  3. Step 3: Cross multiply
    4,589.92x = 6,884.70 × 1,469.80
  4. Step 4: Simplify right side
    4,589.92x = 10,119,132.06
  5. Step 5: Solve for x
    x = 10,119,132.06/4,589.92
  6. Step 6: Final answer
    x = 2,204.64

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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.