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Finding the Fourth Proportional to 5,947.56, 8,206.86 and 3,294.84

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Solution

The fourth proportional to 5,947.56, 8,206.86 and 3,294.84 is: 4,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.56 : 8,206.86 = 3,294.84 : x
  2. Step 2: Convert to fraction form
    5,947.56/8,206.86 = 3,294.84/x
  3. Step 3: Cross multiply
    5,947.56x = 8,206.86 × 3,294.84
  4. Step 4: Simplify right side
    5,947.56x = 27,040,290.60
  5. Step 5: Solve for x
    x = 27,040,290.60/5,947.56
  6. Step 6: Final answer
    x = 4,546.45

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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.