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Finding the Fourth Proportional to 3,800.96, 5,245.20 and 2,122.34

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Solution

The fourth proportional to 3,800.96, 5,245.20 and 2,122.34 is: 2,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.96 : 5,245.20 = 2,122.34 : x
  2. Step 2: Convert to fraction form
    3,800.96/5,245.20 = 2,122.34/x
  3. Step 3: Cross multiply
    3,800.96x = 5,245.20 × 2,122.34
  4. Step 4: Simplify right side
    3,800.96x = 11,132,097.77
  5. Step 5: Solve for x
    x = 11,132,097.77/3,800.96
  6. Step 6: Final answer
    x = 2,928.76

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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.