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Finding the Fourth Proportional to 5,230.09, 7,843.07 and 2,109.52

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Solution

The fourth proportional to 5,230.09, 7,843.07 and 2,109.52 is: 3,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.09 : 7,843.07 = 2,109.52 : x
  2. Step 2: Convert to fraction form
    5,230.09/7,843.07 = 2,109.52/x
  3. Step 3: Cross multiply
    5,230.09x = 7,843.07 × 2,109.52
  4. Step 4: Simplify right side
    5,230.09x = 16,545,098.69
  5. Step 5: Solve for x
    x = 16,545,098.69/5,230.09
  6. Step 6: Final answer
    x = 3,163.45

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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.