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Finding the Fourth Proportional to 3,894.25, 5,335.68 and 3,842.31

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Solution

The fourth proportional to 3,894.25, 5,335.68 and 3,842.31 is: 5,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.25 : 5,335.68 = 3,842.31 : x
  2. Step 2: Convert to fraction form
    3,894.25/5,335.68 = 3,842.31/x
  3. Step 3: Cross multiply
    3,894.25x = 5,335.68 × 3,842.31
  4. Step 4: Simplify right side
    3,894.25x = 20,501,336.62
  5. Step 5: Solve for x
    x = 20,501,336.62/3,894.25
  6. Step 6: Final answer
    x = 5,264.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.