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Finding the Fourth Proportional to 3,980.49, 5,492.84 and 2,212.04

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Solution

The fourth proportional to 3,980.49, 5,492.84 and 2,212.04 is: 3,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.49 : 5,492.84 = 2,212.04 : x
  2. Step 2: Convert to fraction form
    3,980.49/5,492.84 = 2,212.04/x
  3. Step 3: Cross multiply
    3,980.49x = 5,492.84 × 2,212.04
  4. Step 4: Simplify right side
    3,980.49x = 12,150,343.27
  5. Step 5: Solve for x
    x = 12,150,343.27/3,980.49
  6. Step 6: Final answer
    x = 3,052.47

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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.