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Finding the Fourth Proportional to 5,993.72, 8,982.82 and 4,141.88

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Solution

The fourth proportional to 5,993.72, 8,982.82 and 4,141.88 is: 6,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.72 : 8,982.82 = 4,141.88 : x
  2. Step 2: Convert to fraction form
    5,993.72/8,982.82 = 4,141.88/x
  3. Step 3: Cross multiply
    5,993.72x = 8,982.82 × 4,141.88
  4. Step 4: Simplify right side
    5,993.72x = 37,205,762.50
  5. Step 5: Solve for x
    x = 37,205,762.50/5,993.72
  6. Step 6: Final answer
    x = 6,207.46

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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.