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Finding the Fourth Proportional to 5,191.52, 7,164.09 and 2,833.61

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Solution

The fourth proportional to 5,191.52, 7,164.09 and 2,833.61 is: 3,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.52 : 7,164.09 = 2,833.61 : x
  2. Step 2: Convert to fraction form
    5,191.52/7,164.09 = 2,833.61/x
  3. Step 3: Cross multiply
    5,191.52x = 7,164.09 × 2,833.61
  4. Step 4: Simplify right side
    5,191.52x = 20,300,201.24
  5. Step 5: Solve for x
    x = 20,300,201.24/5,191.52
  6. Step 6: Final answer
    x = 3,910.27

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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.