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Finding the Fourth Proportional to 2,856.82, 3,949.06 and 2,740.54

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Solution

The fourth proportional to 2,856.82, 3,949.06 and 2,740.54 is: 3,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.82 : 3,949.06 = 2,740.54 : x
  2. Step 2: Convert to fraction form
    2,856.82/3,949.06 = 2,740.54/x
  3. Step 3: Cross multiply
    2,856.82x = 3,949.06 × 2,740.54
  4. Step 4: Simplify right side
    2,856.82x = 10,822,556.89
  5. Step 5: Solve for x
    x = 10,822,556.89/2,856.82
  6. Step 6: Final answer
    x = 3,788.32

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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.