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Finding the Fourth Proportional to 3,784.70, 5,220.78 and 2,212.49

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Solution

The fourth proportional to 3,784.70, 5,220.78 and 2,212.49 is: 3,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.70 : 5,220.78 = 2,212.49 : x
  2. Step 2: Convert to fraction form
    3,784.70/5,220.78 = 2,212.49/x
  3. Step 3: Cross multiply
    3,784.70x = 5,220.78 × 2,212.49
  4. Step 4: Simplify right side
    3,784.70x = 11,550,923.54
  5. Step 5: Solve for x
    x = 11,550,923.54/3,784.70
  6. Step 6: Final answer
    x = 3,052.01

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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.