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Finding the Fourth Proportional to 5,309.80, 7,967.94 and 2,191.30

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Solution

The fourth proportional to 5,309.80, 7,967.94 and 2,191.30 is: 3,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.80 : 7,967.94 = 2,191.30 : x
  2. Step 2: Convert to fraction form
    5,309.80/7,967.94 = 2,191.30/x
  3. Step 3: Cross multiply
    5,309.80x = 7,967.94 × 2,191.30
  4. Step 4: Simplify right side
    5,309.80x = 17,460,146.92
  5. Step 5: Solve for x
    x = 17,460,146.92/5,309.80
  6. Step 6: Final answer
    x = 3,288.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.