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Finding the Fourth Proportional to 4,238.26, 5,849.03 and 2,350.06

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Solution

The fourth proportional to 4,238.26, 5,849.03 and 2,350.06 is: 3,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.26 : 5,849.03 = 2,350.06 : x
  2. Step 2: Convert to fraction form
    4,238.26/5,849.03 = 2,350.06/x
  3. Step 3: Cross multiply
    4,238.26x = 5,849.03 × 2,350.06
  4. Step 4: Simplify right side
    4,238.26x = 13,745,582.38
  5. Step 5: Solve for x
    x = 13,745,582.38/4,238.26
  6. Step 6: Final answer
    x = 3,243.22

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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.