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Finding the Fourth Proportional to 5,906.60, 8,849.34 and 3,305

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Solution

The fourth proportional to 5,906.60, 8,849.34 and 3,305 is: 4,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.60 : 8,849.34 = 3,305 : x
  2. Step 2: Convert to fraction form
    5,906.60/8,849.34 = 3,305/x
  3. Step 3: Cross multiply
    5,906.60x = 8,849.34 × 3,305
  4. Step 4: Simplify right side
    5,906.60x = 29,247,068.70
  5. Step 5: Solve for x
    x = 29,247,068.70/5,906.60
  6. Step 6: Final answer
    x = 4,951.59

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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.