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Finding the Fourth Proportional to 3,850.35, 5,774.49 and 1,076.84

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Solution

The fourth proportional to 3,850.35, 5,774.49 and 1,076.84 is: 1,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.35 : 5,774.49 = 1,076.84 : x
  2. Step 2: Convert to fraction form
    3,850.35/5,774.49 = 1,076.84/x
  3. Step 3: Cross multiply
    3,850.35x = 5,774.49 × 1,076.84
  4. Step 4: Simplify right side
    3,850.35x = 6,218,194.59
  5. Step 5: Solve for x
    x = 6,218,194.59/3,850.35
  6. Step 6: Final answer
    x = 1,614.97

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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.