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Finding the Fourth Proportional to 5,946.62, 8,206.51 and 3,294.27

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Solution

The fourth proportional to 5,946.62, 8,206.51 and 3,294.27 is: 4,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.62 : 8,206.51 = 3,294.27 : x
  2. Step 2: Convert to fraction form
    5,946.62/8,206.51 = 3,294.27/x
  3. Step 3: Cross multiply
    5,946.62x = 8,206.51 × 3,294.27
  4. Step 4: Simplify right side
    5,946.62x = 27,034,451.46
  5. Step 5: Solve for x
    x = 27,034,451.46/5,946.62
  6. Step 6: Final answer
    x = 4,546.19

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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.