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Finding the Fourth Proportional to 3,408.06, 5,112.18 and 943.14

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Solution

The fourth proportional to 3,408.06, 5,112.18 and 943.14 is: 1,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.06 : 5,112.18 = 943.14 : x
  2. Step 2: Convert to fraction form
    3,408.06/5,112.18 = 943.14/x
  3. Step 3: Cross multiply
    3,408.06x = 5,112.18 × 943.14
  4. Step 4: Simplify right side
    3,408.06x = 4,821,501.45
  5. Step 5: Solve for x
    x = 4,821,501.45/3,408.06
  6. Step 6: Final answer
    x = 1,414.73

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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.