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Finding the Fourth Proportional to 3,947.75, 5,923.04 and 1,973.22

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Solution

The fourth proportional to 3,947.75, 5,923.04 and 1,973.22 is: 2,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.75 : 5,923.04 = 1,973.22 : x
  2. Step 2: Convert to fraction form
    3,947.75/5,923.04 = 1,973.22/x
  3. Step 3: Cross multiply
    3,947.75x = 5,923.04 × 1,973.22
  4. Step 4: Simplify right side
    3,947.75x = 11,687,451.12
  5. Step 5: Solve for x
    x = 11,687,451.12/3,947.75
  6. Step 6: Final answer
    x = 2,960.54

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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.