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Finding the Fourth Proportional to 3,980.94, 5,494.30 and 2,865.57

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Solution

The fourth proportional to 3,980.94, 5,494.30 and 2,865.57 is: 3,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.94 : 5,494.30 = 2,865.57 : x
  2. Step 2: Convert to fraction form
    3,980.94/5,494.30 = 2,865.57/x
  3. Step 3: Cross multiply
    3,980.94x = 5,494.30 × 2,865.57
  4. Step 4: Simplify right side
    3,980.94x = 15,744,273.48
  5. Step 5: Solve for x
    x = 15,744,273.48/3,980.94
  6. Step 6: Final answer
    x = 3,954.92

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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.