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Finding the Fourth Proportional to 3,876.38, 5,814.58 and 3,189.61

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Solution

The fourth proportional to 3,876.38, 5,814.58 and 3,189.61 is: 4,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.38 : 5,814.58 = 3,189.61 : x
  2. Step 2: Convert to fraction form
    3,876.38/5,814.58 = 3,189.61/x
  3. Step 3: Cross multiply
    3,876.38x = 5,814.58 × 3,189.61
  4. Step 4: Simplify right side
    3,876.38x = 18,546,220.00
  5. Step 5: Solve for x
    x = 18,546,220.00/3,876.38
  6. Step 6: Final answer
    x = 4,784.41

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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.