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Finding the Fourth Proportional to 5,191.86, 7,164.81 and 2,833.86

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Solution

The fourth proportional to 5,191.86, 7,164.81 and 2,833.86 is: 3,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.86 : 7,164.81 = 2,833.86 : x
  2. Step 2: Convert to fraction form
    5,191.86/7,164.81 = 2,833.86/x
  3. Step 3: Cross multiply
    5,191.86x = 7,164.81 × 2,833.86
  4. Step 4: Simplify right side
    5,191.86x = 20,304,068.47
  5. Step 5: Solve for x
    x = 20,304,068.47/5,191.86
  6. Step 6: Final answer
    x = 3,910.75

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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.