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Finding the Fourth Proportional to 5,906.21, 8,865.06 and 4,604.12

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Solution

The fourth proportional to 5,906.21, 8,865.06 and 4,604.12 is: 6,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.21 : 8,865.06 = 4,604.12 : x
  2. Step 2: Convert to fraction form
    5,906.21/8,865.06 = 4,604.12/x
  3. Step 3: Cross multiply
    5,906.21x = 8,865.06 × 4,604.12
  4. Step 4: Simplify right side
    5,906.21x = 40,815,755.72
  5. Step 5: Solve for x
    x = 40,815,755.72/5,906.21
  6. Step 6: Final answer
    x = 6,910.66

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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.