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Finding the Fourth Proportional to 5,191.34, 7,164.03 and 2,833.52

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Solution

The fourth proportional to 5,191.34, 7,164.03 and 2,833.52 is: 3,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.34 : 7,164.03 = 2,833.52 : x
  2. Step 2: Convert to fraction form
    5,191.34/7,164.03 = 2,833.52/x
  3. Step 3: Cross multiply
    5,191.34x = 7,164.03 × 2,833.52
  4. Step 4: Simplify right side
    5,191.34x = 20,299,422.29
  5. Step 5: Solve for x
    x = 20,299,422.29/5,191.34
  6. Step 6: Final answer
    x = 3,910.25

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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.