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Finding the Fourth Proportional to 5,835.94, 8,755.19 and 2,138.20

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Solution

The fourth proportional to 5,835.94, 8,755.19 and 2,138.20 is: 3,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.94 : 8,755.19 = 2,138.20 : x
  2. Step 2: Convert to fraction form
    5,835.94/8,755.19 = 2,138.20/x
  3. Step 3: Cross multiply
    5,835.94x = 8,755.19 × 2,138.20
  4. Step 4: Simplify right side
    5,835.94x = 18,720,330.72
  5. Step 5: Solve for x
    x = 18,720,330.72/5,835.94
  6. Step 6: Final answer
    x = 3,207.77

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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.