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Finding the Fourth Proportional to 3,995.83, 5,979.02 and 2,827.00

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Solution

The fourth proportional to 3,995.83, 5,979.02 and 2,827.00 is: 4,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.83 : 5,979.02 = 2,827.00 : x
  2. Step 2: Convert to fraction form
    3,995.83/5,979.02 = 2,827.00/x
  3. Step 3: Cross multiply
    3,995.83x = 5,979.02 × 2,827.00
  4. Step 4: Simplify right side
    3,995.83x = 16,902,682.88
  5. Step 5: Solve for x
    x = 16,902,682.88/3,995.83
  6. Step 6: Final answer
    x = 4,230.08

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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.