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Finding the Fourth Proportional to 5,982.83, 8,256.69 and 3,992.12

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Solution

The fourth proportional to 5,982.83, 8,256.69 and 3,992.12 is: 5,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.83 : 8,256.69 = 3,992.12 : x
  2. Step 2: Convert to fraction form
    5,982.83/8,256.69 = 3,992.12/x
  3. Step 3: Cross multiply
    5,982.83x = 8,256.69 × 3,992.12
  4. Step 4: Simplify right side
    5,982.83x = 32,961,656.00
  5. Step 5: Solve for x
    x = 32,961,656.00/5,982.83
  6. Step 6: Final answer
    x = 5,509.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.