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Finding the Fourth Proportional to 3,662.37, 5,054.00 and 1,983.75

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Solution

The fourth proportional to 3,662.37, 5,054.00 and 1,983.75 is: 2,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.37 : 5,054.00 = 1,983.75 : x
  2. Step 2: Convert to fraction form
    3,662.37/5,054.00 = 1,983.75/x
  3. Step 3: Cross multiply
    3,662.37x = 5,054.00 × 1,983.75
  4. Step 4: Simplify right side
    3,662.37x = 10,025,862.58
  5. Step 5: Solve for x
    x = 10,025,862.58/3,662.37
  6. Step 6: Final answer
    x = 2,737.53

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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.