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Finding the Fourth Proportional to 3,830.92, 5,286.02 and 2,258.80

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Solution

The fourth proportional to 3,830.92, 5,286.02 and 2,258.80 is: 3,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.92 : 5,286.02 = 2,258.80 : x
  2. Step 2: Convert to fraction form
    3,830.92/5,286.02 = 2,258.80/x
  3. Step 3: Cross multiply
    3,830.92x = 5,286.02 × 2,258.80
  4. Step 4: Simplify right side
    3,830.92x = 11,940,061.98
  5. Step 5: Solve for x
    x = 11,940,061.98/3,830.92
  6. Step 6: Final answer
    x = 3,116.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.