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Finding the Fourth Proportional to 5,989.12, 8,984.16 and 2,092.16

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Solution

The fourth proportional to 5,989.12, 8,984.16 and 2,092.16 is: 3,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.12 : 8,984.16 = 2,092.16 : x
  2. Step 2: Convert to fraction form
    5,989.12/8,984.16 = 2,092.16/x
  3. Step 3: Cross multiply
    5,989.12x = 8,984.16 × 2,092.16
  4. Step 4: Simplify right side
    5,989.12x = 18,796,300.19
  5. Step 5: Solve for x
    x = 18,796,300.19/5,989.12
  6. Step 6: Final answer
    x = 3,138.41

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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.