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Finding the Fourth Proportional to 3,894.45, 5,842.82 and 1,672.08

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Solution

The fourth proportional to 3,894.45, 5,842.82 and 1,672.08 is: 2,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.45 : 5,842.82 = 1,672.08 : x
  2. Step 2: Convert to fraction form
    3,894.45/5,842.82 = 1,672.08/x
  3. Step 3: Cross multiply
    3,894.45x = 5,842.82 × 1,672.08
  4. Step 4: Simplify right side
    3,894.45x = 9,769,662.47
  5. Step 5: Solve for x
    x = 9,769,662.47/3,894.45
  6. Step 6: Final answer
    x = 2,508.61

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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.