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Finding the Fourth Proportional to 5,942.87, 8,205 and 3,705.65

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Solution

The fourth proportional to 5,942.87, 8,205 and 3,705.65 is: 5,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.87 : 8,205 = 3,705.65 : x
  2. Step 2: Convert to fraction form
    5,942.87/8,205 = 3,705.65/x
  3. Step 3: Cross multiply
    5,942.87x = 8,205 × 3,705.65
  4. Step 4: Simplify right side
    5,942.87x = 30,404,858.25
  5. Step 5: Solve for x
    x = 30,404,858.25/5,942.87
  6. Step 6: Final answer
    x = 5,116.19

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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.