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Finding the Fourth Proportional to 3,958.26, 5,462.17 and 2,165.38

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Solution

The fourth proportional to 3,958.26, 5,462.17 and 2,165.38 is: 2,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.26 : 5,462.17 = 2,165.38 : x
  2. Step 2: Convert to fraction form
    3,958.26/5,462.17 = 2,165.38/x
  3. Step 3: Cross multiply
    3,958.26x = 5,462.17 × 2,165.38
  4. Step 4: Simplify right side
    3,958.26x = 11,827,673.67
  5. Step 5: Solve for x
    x = 11,827,673.67/3,958.26
  6. Step 6: Final answer
    x = 2,988.10

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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.