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Finding the Fourth Proportional to 5,947.53, 8,207.48 and 3,294.96

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Solution

The fourth proportional to 5,947.53, 8,207.48 and 3,294.96 is: 4,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.53 : 8,207.48 = 3,294.96 : x
  2. Step 2: Convert to fraction form
    5,947.53/8,207.48 = 3,294.96/x
  3. Step 3: Cross multiply
    5,947.53x = 8,207.48 × 3,294.96
  4. Step 4: Simplify right side
    5,947.53x = 27,043,301.83
  5. Step 5: Solve for x
    x = 27,043,301.83/5,947.53
  6. Step 6: Final answer
    x = 4,546.98

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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.