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Finding the Fourth Proportional to 5,192.70, 7,789.05 and 2,114.70

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Solution

The fourth proportional to 5,192.70, 7,789.05 and 2,114.70 is: 3,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.70 : 7,789.05 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    5,192.70/7,789.05 = 2,114.70/x
  3. Step 3: Cross multiply
    5,192.70x = 7,789.05 × 2,114.70
  4. Step 4: Simplify right side
    5,192.70x = 16,471,504.04
  5. Step 5: Solve for x
    x = 16,471,504.04/5,192.70
  6. Step 6: Final answer
    x = 3,172.05

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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.