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Finding the Fourth Proportional to 3,863.43, 5,795.82 and 1,265.49

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Solution

The fourth proportional to 3,863.43, 5,795.82 and 1,265.49 is: 1,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.43 : 5,795.82 = 1,265.49 : x
  2. Step 2: Convert to fraction form
    3,863.43/5,795.82 = 1,265.49/x
  3. Step 3: Cross multiply
    3,863.43x = 5,795.82 × 1,265.49
  4. Step 4: Simplify right side
    3,863.43x = 7,334,552.25
  5. Step 5: Solve for x
    x = 7,334,552.25/3,863.43
  6. Step 6: Final answer
    x = 1,898.46

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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.