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Finding the Fourth Proportional to 3,439.28, 4,769.80 and 3,225.44

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Solution

The fourth proportional to 3,439.28, 4,769.80 and 3,225.44 is: 4,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.28 : 4,769.80 = 3,225.44 : x
  2. Step 2: Convert to fraction form
    3,439.28/4,769.80 = 3,225.44/x
  3. Step 3: Cross multiply
    3,439.28x = 4,769.80 × 3,225.44
  4. Step 4: Simplify right side
    3,439.28x = 15,384,703.71
  5. Step 5: Solve for x
    x = 15,384,703.71/3,439.28
  6. Step 6: Final answer
    x = 4,473.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.