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Finding the Fourth Proportional to 3,783.94, 5,220.39 and 2,290.84

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Solution

The fourth proportional to 3,783.94, 5,220.39 and 2,290.84 is: 3,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.94 : 5,220.39 = 2,290.84 : x
  2. Step 2: Convert to fraction form
    3,783.94/5,220.39 = 2,290.84/x
  3. Step 3: Cross multiply
    3,783.94x = 5,220.39 × 2,290.84
  4. Step 4: Simplify right side
    3,783.94x = 11,959,078.23
  5. Step 5: Solve for x
    x = 11,959,078.23/3,783.94
  6. Step 6: Final answer
    x = 3,160.48

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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.