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Finding the Fourth Proportional to 4,162.90, 5,740.14 and 2,837.38

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Solution

The fourth proportional to 4,162.90, 5,740.14 and 2,837.38 is: 3,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.90 : 5,740.14 = 2,837.38 : x
  2. Step 2: Convert to fraction form
    4,162.90/5,740.14 = 2,837.38/x
  3. Step 3: Cross multiply
    4,162.90x = 5,740.14 × 2,837.38
  4. Step 4: Simplify right side
    4,162.90x = 16,286,958.43
  5. Step 5: Solve for x
    x = 16,286,958.43/4,162.90
  6. Step 6: Final answer
    x = 3,912.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.