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Finding the Fourth Proportional to 4,326.43, 6,489.75 and 1,693.82

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Solution

The fourth proportional to 4,326.43, 6,489.75 and 1,693.82 is: 2,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.43 : 6,489.75 = 1,693.82 : x
  2. Step 2: Convert to fraction form
    4,326.43/6,489.75 = 1,693.82/x
  3. Step 3: Cross multiply
    4,326.43x = 6,489.75 × 1,693.82
  4. Step 4: Simplify right side
    4,326.43x = 10,992,468.35
  5. Step 5: Solve for x
    x = 10,992,468.35/4,326.43
  6. Step 6: Final answer
    x = 2,540.77

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