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Finding the Fourth Proportional to 3,563.22, 4,916.94 and 1,991

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Solution

The fourth proportional to 3,563.22, 4,916.94 and 1,991 is: 2,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.22 : 4,916.94 = 1,991 : x
  2. Step 2: Convert to fraction form
    3,563.22/4,916.94 = 1,991/x
  3. Step 3: Cross multiply
    3,563.22x = 4,916.94 × 1,991
  4. Step 4: Simplify right side
    3,563.22x = 9,789,627.54
  5. Step 5: Solve for x
    x = 9,789,627.54/3,563.22
  6. Step 6: Final answer
    x = 2,747.41

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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.