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Finding the Fourth Proportional to 6,429.25, 8,874 and 3,636.37

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Solution

The fourth proportional to 6,429.25, 8,874 and 3,636.37 is: 5,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.25 : 8,874 = 3,636.37 : x
  2. Step 2: Convert to fraction form
    6,429.25/8,874 = 3,636.37/x
  3. Step 3: Cross multiply
    6,429.25x = 8,874 × 3,636.37
  4. Step 4: Simplify right side
    6,429.25x = 32,269,147.38
  5. Step 5: Solve for x
    x = 32,269,147.38/6,429.25
  6. Step 6: Final answer
    x = 5,019.12

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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.