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Finding the Fourth Proportional to 3,938.46, 5,908.53 and 1,965.15

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Solution

The fourth proportional to 3,938.46, 5,908.53 and 1,965.15 is: 2,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.46 : 5,908.53 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    3,938.46/5,908.53 = 1,965.15/x
  3. Step 3: Cross multiply
    3,938.46x = 5,908.53 × 1,965.15
  4. Step 4: Simplify right side
    3,938.46x = 11,611,147.73
  5. Step 5: Solve for x
    x = 11,611,147.73/3,938.46
  6. Step 6: Final answer
    x = 2,948.14

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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.