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Finding the Fourth Proportional to 3,800.98, 5,245.01 and 2,122.24

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Solution

The fourth proportional to 3,800.98, 5,245.01 and 2,122.24 is: 2,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.98 : 5,245.01 = 2,122.24 : x
  2. Step 2: Convert to fraction form
    3,800.98/5,245.01 = 2,122.24/x
  3. Step 3: Cross multiply
    3,800.98x = 5,245.01 × 2,122.24
  4. Step 4: Simplify right side
    3,800.98x = 11,131,170.02
  5. Step 5: Solve for x
    x = 11,131,170.02/3,800.98
  6. Step 6: Final answer
    x = 2,928.50

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