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Finding the Fourth Proportional to 3,809.20, 5,706.36 and 3,396.40

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Solution

The fourth proportional to 3,809.20, 5,706.36 and 3,396.40 is: 5,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.20 : 5,706.36 = 3,396.40 : x
  2. Step 2: Convert to fraction form
    3,809.20/5,706.36 = 3,396.40/x
  3. Step 3: Cross multiply
    3,809.20x = 5,706.36 × 3,396.40
  4. Step 4: Simplify right side
    3,809.20x = 19,381,081.10
  5. Step 5: Solve for x
    x = 19,381,081.10/3,809.20
  6. Step 6: Final answer
    x = 5,087.97

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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.