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Finding the Fourth Proportional to 5,191.80, 7,164.72 and 2,833.98

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Solution

The fourth proportional to 5,191.80, 7,164.72 and 2,833.98 is: 3,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.80 : 7,164.72 = 2,833.98 : x
  2. Step 2: Convert to fraction form
    5,191.80/7,164.72 = 2,833.98/x
  3. Step 3: Cross multiply
    5,191.80x = 7,164.72 × 2,833.98
  4. Step 4: Simplify right side
    5,191.80x = 20,304,673.19
  5. Step 5: Solve for x
    x = 20,304,673.19/5,191.80
  6. Step 6: Final answer
    x = 3,910.91

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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.