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Finding the Fourth Proportional to 4,299, 5,932.64 and 2,436

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Solution

The fourth proportional to 4,299, 5,932.64 and 2,436 is: 3,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299 : 5,932.64 = 2,436 : x
  2. Step 2: Convert to fraction form
    4,299/5,932.64 = 2,436/x
  3. Step 3: Cross multiply
    4,299x = 5,932.64 × 2,436
  4. Step 4: Simplify right side
    4,299x = 14,451,911.04
  5. Step 5: Solve for x
    x = 14,451,911.04/4,299
  6. Step 6: Final answer
    x = 3,361.69

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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.