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Finding the Fourth Proportional to 5,137.67, 7,694.83 and 4,020.13

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Solution

The fourth proportional to 5,137.67, 7,694.83 and 4,020.13 is: 6,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.67 : 7,694.83 = 4,020.13 : x
  2. Step 2: Convert to fraction form
    5,137.67/7,694.83 = 4,020.13/x
  3. Step 3: Cross multiply
    5,137.67x = 7,694.83 × 4,020.13
  4. Step 4: Simplify right side
    5,137.67x = 30,934,158.35
  5. Step 5: Solve for x
    x = 30,934,158.35/5,137.67
  6. Step 6: Final answer
    x = 6,021.05

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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.