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Finding the Fourth Proportional to 5,947.74, 8,207.56 and 3,294.99

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Solution

The fourth proportional to 5,947.74, 8,207.56 and 3,294.99 is: 4,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.74 : 8,207.56 = 3,294.99 : x
  2. Step 2: Convert to fraction form
    5,947.74/8,207.56 = 3,294.99/x
  3. Step 3: Cross multiply
    5,947.74x = 8,207.56 × 3,294.99
  4. Step 4: Simplify right side
    5,947.74x = 27,043,828.12
  5. Step 5: Solve for x
    x = 27,043,828.12/5,947.74
  6. Step 6: Final answer
    x = 4,546.91

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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.