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Finding the Fourth Proportional to 5,946.93, 8,206.82 and 3,294.37

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Solution

The fourth proportional to 5,946.93, 8,206.82 and 3,294.37 is: 4,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.93 : 8,206.82 = 3,294.37 : x
  2. Step 2: Convert to fraction form
    5,946.93/8,206.82 = 3,294.37/x
  3. Step 3: Cross multiply
    5,946.93x = 8,206.82 × 3,294.37
  4. Step 4: Simplify right side
    5,946.93x = 27,036,285.13
  5. Step 5: Solve for x
    x = 27,036,285.13/5,946.93
  6. Step 6: Final answer
    x = 4,546.26

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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.