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Finding the Fourth Proportional to 3,958, 5,462 and 2,189.52

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Solution

The fourth proportional to 3,958, 5,462 and 2,189.52 is: 3,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958 : 5,462 = 2,189.52 : x
  2. Step 2: Convert to fraction form
    3,958/5,462 = 2,189.52/x
  3. Step 3: Cross multiply
    3,958x = 5,462 × 2,189.52
  4. Step 4: Simplify right side
    3,958x = 11,959,158.24
  5. Step 5: Solve for x
    x = 11,959,158.24/3,958
  6. Step 6: Final answer
    x = 3,021.52

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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.