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Finding the Fourth Proportional to 5,207.38, 7,811.08 and 2,129.38

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Solution

The fourth proportional to 5,207.38, 7,811.08 and 2,129.38 is: 3,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.38 : 7,811.08 = 2,129.38 : x
  2. Step 2: Convert to fraction form
    5,207.38/7,811.08 = 2,129.38/x
  3. Step 3: Cross multiply
    5,207.38x = 7,811.08 × 2,129.38
  4. Step 4: Simplify right side
    5,207.38x = 16,632,757.53
  5. Step 5: Solve for x
    x = 16,632,757.53/5,207.38
  6. Step 6: Final answer
    x = 3,194.07

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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.