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Finding the Fourth Proportional to 3,906.05, 5,852.59 and 2,749.37

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Solution

The fourth proportional to 3,906.05, 5,852.59 and 2,749.37 is: 4,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.05 : 5,852.59 = 2,749.37 : x
  2. Step 2: Convert to fraction form
    3,906.05/5,852.59 = 2,749.37/x
  3. Step 3: Cross multiply
    3,906.05x = 5,852.59 × 2,749.37
  4. Step 4: Simplify right side
    3,906.05x = 16,090,935.37
  5. Step 5: Solve for x
    x = 16,090,935.37/3,906.05
  6. Step 6: Final answer
    x = 4,119.49

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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.