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Finding the Fourth Proportional to 3,954.75, 5,930.23 and 1,180.45

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Solution

The fourth proportional to 3,954.75, 5,930.23 and 1,180.45 is: 1,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.75 : 5,930.23 = 1,180.45 : x
  2. Step 2: Convert to fraction form
    3,954.75/5,930.23 = 1,180.45/x
  3. Step 3: Cross multiply
    3,954.75x = 5,930.23 × 1,180.45
  4. Step 4: Simplify right side
    3,954.75x = 7,000,340.00
  5. Step 5: Solve for x
    x = 7,000,340.00/3,954.75
  6. Step 6: Final answer
    x = 1,770.11

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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.