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Finding the Fourth Proportional to 3,662.46, 5,054.22 and 1,983.87

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Solution

The fourth proportional to 3,662.46, 5,054.22 and 1,983.87 is: 2,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,054.22 = 1,983.87 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,054.22 = 1,983.87/x
  3. Step 3: Cross multiply
    3,662.46x = 5,054.22 × 1,983.87
  4. Step 4: Simplify right side
    3,662.46x = 10,026,915.43
  5. Step 5: Solve for x
    x = 10,026,915.43/3,662.46
  6. Step 6: Final answer
    x = 2,737.75

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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.