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Finding the Fourth Proportional to 5,947.96, 8,921.94 and 2,052.06

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Solution

The fourth proportional to 5,947.96, 8,921.94 and 2,052.06 is: 3,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.96 : 8,921.94 = 2,052.06 : x
  2. Step 2: Convert to fraction form
    5,947.96/8,921.94 = 2,052.06/x
  3. Step 3: Cross multiply
    5,947.96x = 8,921.94 × 2,052.06
  4. Step 4: Simplify right side
    5,947.96x = 18,308,356.20
  5. Step 5: Solve for x
    x = 18,308,356.20/5,947.96
  6. Step 6: Final answer
    x = 3,078.09

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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.