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Finding the Fourth Proportional to 3,858.84, 5,771.54 and 2,273.78

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Solution

The fourth proportional to 3,858.84, 5,771.54 and 2,273.78 is: 3,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.84 : 5,771.54 = 2,273.78 : x
  2. Step 2: Convert to fraction form
    3,858.84/5,771.54 = 2,273.78/x
  3. Step 3: Cross multiply
    3,858.84x = 5,771.54 × 2,273.78
  4. Step 4: Simplify right side
    3,858.84x = 13,123,212.22
  5. Step 5: Solve for x
    x = 13,123,212.22/3,858.84
  6. Step 6: Final answer
    x = 3,400.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.