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Finding the Fourth Proportional to 5,121.70, 7,680.68 and 1,789.01

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Solution

The fourth proportional to 5,121.70, 7,680.68 and 1,789.01 is: 2,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.70 : 7,680.68 = 1,789.01 : x
  2. Step 2: Convert to fraction form
    5,121.70/7,680.68 = 1,789.01/x
  3. Step 3: Cross multiply
    5,121.70x = 7,680.68 × 1,789.01
  4. Step 4: Simplify right side
    5,121.70x = 13,740,813.33
  5. Step 5: Solve for x
    x = 13,740,813.33/5,121.70
  6. Step 6: Final answer
    x = 2,682.86

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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.