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Finding the Fourth Proportional to 5,825.98, 8,039.98 and 3,173.39

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Solution

The fourth proportional to 5,825.98, 8,039.98 and 3,173.39 is: 4,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.98 : 8,039.98 = 3,173.39 : x
  2. Step 2: Convert to fraction form
    5,825.98/8,039.98 = 3,173.39/x
  3. Step 3: Cross multiply
    5,825.98x = 8,039.98 × 3,173.39
  4. Step 4: Simplify right side
    5,825.98x = 25,513,951.93
  5. Step 5: Solve for x
    x = 25,513,951.93/5,825.98
  6. Step 6: Final answer
    x = 4,379.34

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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.