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Finding the Fourth Proportional to 3,922.62, 5,883.93 and 1,976.46

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Solution

The fourth proportional to 3,922.62, 5,883.93 and 1,976.46 is: 2,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.62 : 5,883.93 = 1,976.46 : x
  2. Step 2: Convert to fraction form
    3,922.62/5,883.93 = 1,976.46/x
  3. Step 3: Cross multiply
    3,922.62x = 5,883.93 × 1,976.46
  4. Step 4: Simplify right side
    3,922.62x = 11,629,352.29
  5. Step 5: Solve for x
    x = 11,629,352.29/3,922.62
  6. Step 6: Final answer
    x = 2,964.69

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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.