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Finding the Fourth Proportional to 5,989.44, 8,982.24 and 1,884.48

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Solution

The fourth proportional to 5,989.44, 8,982.24 and 1,884.48 is: 2,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.44 : 8,982.24 = 1,884.48 : x
  2. Step 2: Convert to fraction form
    5,989.44/8,982.24 = 1,884.48/x
  3. Step 3: Cross multiply
    5,989.44x = 8,982.24 × 1,884.48
  4. Step 4: Simplify right side
    5,989.44x = 16,926,851.64
  5. Step 5: Solve for x
    x = 16,926,851.64/5,989.44
  6. Step 6: Final answer
    x = 2,826.12

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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.