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Finding the Fourth Proportional to 4,326.92, 6,489.82 and 1,829.09

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Solution

The fourth proportional to 4,326.92, 6,489.82 and 1,829.09 is: 2,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.92 : 6,489.82 = 1,829.09 : x
  2. Step 2: Convert to fraction form
    4,326.92/6,489.82 = 1,829.09/x
  3. Step 3: Cross multiply
    4,326.92x = 6,489.82 × 1,829.09
  4. Step 4: Simplify right side
    4,326.92x = 11,870,464.86
  5. Step 5: Solve for x
    x = 11,870,464.86/4,326.92
  6. Step 6: Final answer
    x = 2,743.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.