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Finding the Fourth Proportional to 5,946.98, 8,207.30 and 3,294.64

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Solution

The fourth proportional to 5,946.98, 8,207.30 and 3,294.64 is: 4,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.98 : 8,207.30 = 3,294.64 : x
  2. Step 2: Convert to fraction form
    5,946.98/8,207.30 = 3,294.64/x
  3. Step 3: Cross multiply
    5,946.98x = 8,207.30 × 3,294.64
  4. Step 4: Simplify right side
    5,946.98x = 27,040,098.87
  5. Step 5: Solve for x
    x = 27,040,098.87/5,946.98
  6. Step 6: Final answer
    x = 4,546.86

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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.