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Finding the Fourth Proportional to 3,408.74, 5,112.02 and 1,099.70

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Solution

The fourth proportional to 3,408.74, 5,112.02 and 1,099.70 is: 1,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.74 : 5,112.02 = 1,099.70 : x
  2. Step 2: Convert to fraction form
    3,408.74/5,112.02 = 1,099.70/x
  3. Step 3: Cross multiply
    3,408.74x = 5,112.02 × 1,099.70
  4. Step 4: Simplify right side
    3,408.74x = 5,621,657.34
  5. Step 5: Solve for x
    x = 5,621,657.34/3,408.74
  6. Step 6: Final answer
    x = 1,649.19

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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.