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Finding the Fourth Proportional to 3,980.54, 5,494.96 and 2,489.42

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Solution

The fourth proportional to 3,980.54, 5,494.96 and 2,489.42 is: 3,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.54 : 5,494.96 = 2,489.42 : x
  2. Step 2: Convert to fraction form
    3,980.54/5,494.96 = 2,489.42/x
  3. Step 3: Cross multiply
    3,980.54x = 5,494.96 × 2,489.42
  4. Step 4: Simplify right side
    3,980.54x = 13,679,263.32
  5. Step 5: Solve for x
    x = 13,679,263.32/3,980.54
  6. Step 6: Final answer
    x = 3,436.53

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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.