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Finding the Fourth Proportional to 4,238.52, 5,849.14 and 2,375.52

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Solution

The fourth proportional to 4,238.52, 5,849.14 and 2,375.52 is: 3,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.52 : 5,849.14 = 2,375.52 : x
  2. Step 2: Convert to fraction form
    4,238.52/5,849.14 = 2,375.52/x
  3. Step 3: Cross multiply
    4,238.52x = 5,849.14 × 2,375.52
  4. Step 4: Simplify right side
    4,238.52x = 13,894,749.05
  5. Step 5: Solve for x
    x = 13,894,749.05/4,238.52
  6. Step 6: Final answer
    x = 3,278.21

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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.