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Finding the Fourth Proportional to 5,191.32, 7,164.06 and 2,833.48

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Solution

The fourth proportional to 5,191.32, 7,164.06 and 2,833.48 is: 3,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.32 : 7,164.06 = 2,833.48 : x
  2. Step 2: Convert to fraction form
    5,191.32/7,164.06 = 2,833.48/x
  3. Step 3: Cross multiply
    5,191.32x = 7,164.06 × 2,833.48
  4. Step 4: Simplify right side
    5,191.32x = 20,299,220.73
  5. Step 5: Solve for x
    x = 20,299,220.73/5,191.32
  6. Step 6: Final answer
    x = 3,910.22

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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.