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Finding the Fourth Proportional to 5,230.94, 7,847.93 and 2,109.33

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Solution

The fourth proportional to 5,230.94, 7,847.93 and 2,109.33 is: 3,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.94 : 7,847.93 = 2,109.33 : x
  2. Step 2: Convert to fraction form
    5,230.94/7,847.93 = 2,109.33/x
  3. Step 3: Cross multiply
    5,230.94x = 7,847.93 × 2,109.33
  4. Step 4: Simplify right side
    5,230.94x = 16,553,874.19
  5. Step 5: Solve for x
    x = 16,553,874.19/5,230.94
  6. Step 6: Final answer
    x = 3,164.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.