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Finding the Fourth Proportional to 3,423.44, 4,723.80 and 2,007.20

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Solution

The fourth proportional to 3,423.44, 4,723.80 and 2,007.20 is: 2,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.44 : 4,723.80 = 2,007.20 : x
  2. Step 2: Convert to fraction form
    3,423.44/4,723.80 = 2,007.20/x
  3. Step 3: Cross multiply
    3,423.44x = 4,723.80 × 2,007.20
  4. Step 4: Simplify right side
    3,423.44x = 9,481,611.36
  5. Step 5: Solve for x
    x = 9,481,611.36/3,423.44
  6. Step 6: Final answer
    x = 2,769.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.