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Finding the Fourth Proportional to 4,108.97, 5,670.38 and 2,245.97

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Solution

The fourth proportional to 4,108.97, 5,670.38 and 2,245.97 is: 3,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.97 : 5,670.38 = 2,245.97 : x
  2. Step 2: Convert to fraction form
    4,108.97/5,670.38 = 2,245.97/x
  3. Step 3: Cross multiply
    4,108.97x = 5,670.38 × 2,245.97
  4. Step 4: Simplify right side
    4,108.97x = 12,735,492.14
  5. Step 5: Solve for x
    x = 12,735,492.14/4,108.97
  6. Step 6: Final answer
    x = 3,099.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.