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Finding the Fourth Proportional to 3,783.84, 5,221.80 and 2,105.42

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Solution

The fourth proportional to 3,783.84, 5,221.80 and 2,105.42 is: 2,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.84 : 5,221.80 = 2,105.42 : x
  2. Step 2: Convert to fraction form
    3,783.84/5,221.80 = 2,105.42/x
  3. Step 3: Cross multiply
    3,783.84x = 5,221.80 × 2,105.42
  4. Step 4: Simplify right side
    3,783.84x = 10,994,056.05
  5. Step 5: Solve for x
    x = 10,994,056.05/3,783.84
  6. Step 6: Final answer
    x = 2,905.53

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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.