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Finding the Fourth Proportional to 3,399.84, 4,680.96 and 2,809.44

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Solution

The fourth proportional to 3,399.84, 4,680.96 and 2,809.44 is: 3,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.84 : 4,680.96 = 2,809.44 : x
  2. Step 2: Convert to fraction form
    3,399.84/4,680.96 = 2,809.44/x
  3. Step 3: Cross multiply
    3,399.84x = 4,680.96 × 2,809.44
  4. Step 4: Simplify right side
    3,399.84x = 13,150,876.26
  5. Step 5: Solve for x
    x = 13,150,876.26/3,399.84
  6. Step 6: Final answer
    x = 3,868.09

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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.