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Finding the Fourth Proportional to 3,912.67, 5,869.68 and 1,315

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Solution

The fourth proportional to 3,912.67, 5,869.68 and 1,315 is: 1,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.67 : 5,869.68 = 1,315 : x
  2. Step 2: Convert to fraction form
    3,912.67/5,869.68 = 1,315/x
  3. Step 3: Cross multiply
    3,912.67x = 5,869.68 × 1,315
  4. Step 4: Simplify right side
    3,912.67x = 7,718,629.20
  5. Step 5: Solve for x
    x = 7,718,629.20/3,912.67
  6. Step 6: Final answer
    x = 1,972.73

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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.