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Finding the Fourth Proportional to 3,912.41, 5,869.44 and 1,447.25

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Solution

The fourth proportional to 3,912.41, 5,869.44 and 1,447.25 is: 2,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.41 : 5,869.44 = 1,447.25 : x
  2. Step 2: Convert to fraction form
    3,912.41/5,869.44 = 1,447.25/x
  3. Step 3: Cross multiply
    3,912.41x = 5,869.44 × 1,447.25
  4. Step 4: Simplify right side
    3,912.41x = 8,494,547.04
  5. Step 5: Solve for x
    x = 8,494,547.04/3,912.41
  6. Step 6: Final answer
    x = 2,171.18

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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.