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Finding the Fourth Proportional to 3,989.54, 5,982.46 and 1,216.51

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Solution

The fourth proportional to 3,989.54, 5,982.46 and 1,216.51 is: 1,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.54 : 5,982.46 = 1,216.51 : x
  2. Step 2: Convert to fraction form
    3,989.54/5,982.46 = 1,216.51/x
  3. Step 3: Cross multiply
    3,989.54x = 5,982.46 × 1,216.51
  4. Step 4: Simplify right side
    3,989.54x = 7,277,704.42
  5. Step 5: Solve for x
    x = 7,277,704.42/3,989.54
  6. Step 6: Final answer
    x = 1,824.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.