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Finding the Fourth Proportional to 4,326, 5,969.90 and 2,463

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Solution

The fourth proportional to 4,326, 5,969.90 and 2,463 is: 3,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326 : 5,969.90 = 2,463 : x
  2. Step 2: Convert to fraction form
    4,326/5,969.90 = 2,463/x
  3. Step 3: Cross multiply
    4,326x = 5,969.90 × 2,463
  4. Step 4: Simplify right side
    4,326x = 14,703,863.70
  5. Step 5: Solve for x
    x = 14,703,863.70/4,326
  6. Step 6: Final answer
    x = 3,398.95

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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.