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Finding the Fourth Proportional to 5,993.85, 8,973.82 and 3,176.27

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Solution

The fourth proportional to 5,993.85, 8,973.82 and 3,176.27 is: 4,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.85 : 8,973.82 = 3,176.27 : x
  2. Step 2: Convert to fraction form
    5,993.85/8,973.82 = 3,176.27/x
  3. Step 3: Cross multiply
    5,993.85x = 8,973.82 × 3,176.27
  4. Step 4: Simplify right side
    5,993.85x = 28,503,275.25
  5. Step 5: Solve for x
    x = 28,503,275.25/5,993.85
  6. Step 6: Final answer
    x = 4,755.42

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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.