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Finding the Fourth Proportional to 5,305.36, 7,321.44 and 2,947.54

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Solution

The fourth proportional to 5,305.36, 7,321.44 and 2,947.54 is: 4,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.36 : 7,321.44 = 2,947.54 : x
  2. Step 2: Convert to fraction form
    5,305.36/7,321.44 = 2,947.54/x
  3. Step 3: Cross multiply
    5,305.36x = 7,321.44 × 2,947.54
  4. Step 4: Simplify right side
    5,305.36x = 21,580,237.26
  5. Step 5: Solve for x
    x = 21,580,237.26/5,305.36
  6. Step 6: Final answer
    x = 4,067.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.