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Finding the Fourth Proportional to 3,863.57, 5,754.60 and 3,782.57

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Solution

The fourth proportional to 3,863.57, 5,754.60 and 3,782.57 is: 5,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.57 : 5,754.60 = 3,782.57 : x
  2. Step 2: Convert to fraction form
    3,863.57/5,754.60 = 3,782.57/x
  3. Step 3: Cross multiply
    3,863.57x = 5,754.60 × 3,782.57
  4. Step 4: Simplify right side
    3,863.57x = 21,767,148.55
  5. Step 5: Solve for x
    x = 21,767,148.55/3,863.57
  6. Step 6: Final answer
    x = 5,633.95

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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.