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Finding the Fourth Proportional to 3,844.66, 5,768.79 and 1,994.77

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Solution

The fourth proportional to 3,844.66, 5,768.79 and 1,994.77 is: 2,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.66 : 5,768.79 = 1,994.77 : x
  2. Step 2: Convert to fraction form
    3,844.66/5,768.79 = 1,994.77/x
  3. Step 3: Cross multiply
    3,844.66x = 5,768.79 × 1,994.77
  4. Step 4: Simplify right side
    3,844.66x = 11,507,409.23
  5. Step 5: Solve for x
    x = 11,507,409.23/3,844.66
  6. Step 6: Final answer
    x = 2,993.09

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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.