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Finding the Fourth Proportional to 3,980.33, 5,494.90 and 2,806.64

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Solution

The fourth proportional to 3,980.33, 5,494.90 and 2,806.64 is: 3,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.33 : 5,494.90 = 2,806.64 : x
  2. Step 2: Convert to fraction form
    3,980.33/5,494.90 = 2,806.64/x
  3. Step 3: Cross multiply
    3,980.33x = 5,494.90 × 2,806.64
  4. Step 4: Simplify right side
    3,980.33x = 15,422,206.14
  5. Step 5: Solve for x
    x = 15,422,206.14/3,980.33
  6. Step 6: Final answer
    x = 3,874.60

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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.