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Finding the Fourth Proportional to 3,894.30, 5,813.73 and 3,757.62

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Solution

The fourth proportional to 3,894.30, 5,813.73 and 3,757.62 is: 5,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.30 : 5,813.73 = 3,757.62 : x
  2. Step 2: Convert to fraction form
    3,894.30/5,813.73 = 3,757.62/x
  3. Step 3: Cross multiply
    3,894.30x = 5,813.73 × 3,757.62
  4. Step 4: Simplify right side
    3,894.30x = 21,845,788.12
  5. Step 5: Solve for x
    x = 21,845,788.12/3,894.30
  6. Step 6: Final answer
    x = 5,609.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.