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Finding the Fourth Proportional to 3,980.81, 5,961.50 and 3,436.49

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Solution

The fourth proportional to 3,980.81, 5,961.50 and 3,436.49 is: 5,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.81 : 5,961.50 = 3,436.49 : x
  2. Step 2: Convert to fraction form
    3,980.81/5,961.50 = 3,436.49/x
  3. Step 3: Cross multiply
    3,980.81x = 5,961.50 × 3,436.49
  4. Step 4: Simplify right side
    3,980.81x = 20,486,635.14
  5. Step 5: Solve for x
    x = 20,486,635.14/3,980.81
  6. Step 6: Final answer
    x = 5,146.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.