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Finding the Fourth Proportional to 3,959.52, 5,938.23 and 1,185.45

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Solution

The fourth proportional to 3,959.52, 5,938.23 and 1,185.45 is: 1,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.52 : 5,938.23 = 1,185.45 : x
  2. Step 2: Convert to fraction form
    3,959.52/5,938.23 = 1,185.45/x
  3. Step 3: Cross multiply
    3,959.52x = 5,938.23 × 1,185.45
  4. Step 4: Simplify right side
    3,959.52x = 7,039,474.75
  5. Step 5: Solve for x
    x = 7,039,474.75/3,959.52
  6. Step 6: Final answer
    x = 1,777.86

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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.