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Finding the Fourth Proportional to 3,290.22, 4,936.14 and 1,099.44

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Solution

The fourth proportional to 3,290.22, 4,936.14 and 1,099.44 is: 1,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.22 : 4,936.14 = 1,099.44 : x
  2. Step 2: Convert to fraction form
    3,290.22/4,936.14 = 1,099.44/x
  3. Step 3: Cross multiply
    3,290.22x = 4,936.14 × 1,099.44
  4. Step 4: Simplify right side
    3,290.22x = 5,426,989.76
  5. Step 5: Solve for x
    x = 5,426,989.76/3,290.22
  6. Step 6: Final answer
    x = 1,649.43

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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.