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Finding the Fourth Proportional to 3,866.87, 5,336.28 and 2,273.40

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Solution

The fourth proportional to 3,866.87, 5,336.28 and 2,273.40 is: 3,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.87 : 5,336.28 = 2,273.40 : x
  2. Step 2: Convert to fraction form
    3,866.87/5,336.28 = 2,273.40/x
  3. Step 3: Cross multiply
    3,866.87x = 5,336.28 × 2,273.40
  4. Step 4: Simplify right side
    3,866.87x = 12,131,498.95
  5. Step 5: Solve for x
    x = 12,131,498.95/3,866.87
  6. Step 6: Final answer
    x = 3,137.29

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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.