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Finding the Fourth Proportional to 3,428.32, 4,735.92 and 2,728.80

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Solution

The fourth proportional to 3,428.32, 4,735.92 and 2,728.80 is: 3,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.32 : 4,735.92 = 2,728.80 : x
  2. Step 2: Convert to fraction form
    3,428.32/4,735.92 = 2,728.80/x
  3. Step 3: Cross multiply
    3,428.32x = 4,735.92 × 2,728.80
  4. Step 4: Simplify right side
    3,428.32x = 12,923,378.50
  5. Step 5: Solve for x
    x = 12,923,378.50/3,428.32
  6. Step 6: Final answer
    x = 3,769.60

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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.