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Finding the Fourth Proportional to 5,142.92, 7,717.57 and 2,369.99

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Solution

The fourth proportional to 5,142.92, 7,717.57 and 2,369.99 is: 3,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.92 : 7,717.57 = 2,369.99 : x
  2. Step 2: Convert to fraction form
    5,142.92/7,717.57 = 2,369.99/x
  3. Step 3: Cross multiply
    5,142.92x = 7,717.57 × 2,369.99
  4. Step 4: Simplify right side
    5,142.92x = 18,290,577.09
  5. Step 5: Solve for x
    x = 18,290,577.09/5,142.92
  6. Step 6: Final answer
    x = 3,556.46

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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.