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Finding the Fourth Proportional to 3,969.94, 5,478.43 and 2,201.56

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Solution

The fourth proportional to 3,969.94, 5,478.43 and 2,201.56 is: 3,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.94 : 5,478.43 = 2,201.56 : x
  2. Step 2: Convert to fraction form
    3,969.94/5,478.43 = 2,201.56/x
  3. Step 3: Cross multiply
    3,969.94x = 5,478.43 × 2,201.56
  4. Step 4: Simplify right side
    3,969.94x = 12,061,092.35
  5. Step 5: Solve for x
    x = 12,061,092.35/3,969.94
  6. Step 6: Final answer
    x = 3,038.10

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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.