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Finding the Fourth Proportional to 6,336, 8,743.68 and 3,852

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Solution

The fourth proportional to 6,336, 8,743.68 and 3,852 is: 5,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336 : 8,743.68 = 3,852 : x
  2. Step 2: Convert to fraction form
    6,336/8,743.68 = 3,852/x
  3. Step 3: Cross multiply
    6,336x = 8,743.68 × 3,852
  4. Step 4: Simplify right side
    6,336x = 33,680,655.36
  5. Step 5: Solve for x
    x = 33,680,655.36/6,336
  6. Step 6: Final answer
    x = 5,315.76

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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.