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Finding the Fourth Proportional to 3,408.36, 5,112.65 and 942.97

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Solution

The fourth proportional to 3,408.36, 5,112.65 and 942.97 is: 1,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.36 : 5,112.65 = 942.97 : x
  2. Step 2: Convert to fraction form
    3,408.36/5,112.65 = 942.97/x
  3. Step 3: Cross multiply
    3,408.36x = 5,112.65 × 942.97
  4. Step 4: Simplify right side
    3,408.36x = 4,821,070.61
  5. Step 5: Solve for x
    x = 4,821,070.61/3,408.36
  6. Step 6: Final answer
    x = 1,414.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.