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Finding the Fourth Proportional to 5,994.25, 8,263.98 and 4,199.31

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Solution

The fourth proportional to 5,994.25, 8,263.98 and 4,199.31 is: 5,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.25 : 8,263.98 = 4,199.31 : x
  2. Step 2: Convert to fraction form
    5,994.25/8,263.98 = 4,199.31/x
  3. Step 3: Cross multiply
    5,994.25x = 8,263.98 × 4,199.31
  4. Step 4: Simplify right side
    5,994.25x = 34,703,013.85
  5. Step 5: Solve for x
    x = 34,703,013.85/5,994.25
  6. Step 6: Final answer
    x = 5,789.39

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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.