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Finding the Fourth Proportional to 5,138.99, 7,707.96 and 3,052.38

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Solution

The fourth proportional to 5,138.99, 7,707.96 and 3,052.38 is: 4,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.99 : 7,707.96 = 3,052.38 : x
  2. Step 2: Convert to fraction form
    5,138.99/7,707.96 = 3,052.38/x
  3. Step 3: Cross multiply
    5,138.99x = 7,707.96 × 3,052.38
  4. Step 4: Simplify right side
    5,138.99x = 23,527,651.85
  5. Step 5: Solve for x
    x = 23,527,651.85/5,138.99
  6. Step 6: Final answer
    x = 4,578.26

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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.