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Finding the Fourth Proportional to 5,611.40, 8,414.29 and 1,912.47

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Solution

The fourth proportional to 5,611.40, 8,414.29 and 1,912.47 is: 2,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.40 : 8,414.29 = 1,912.47 : x
  2. Step 2: Convert to fraction form
    5,611.40/8,414.29 = 1,912.47/x
  3. Step 3: Cross multiply
    5,611.40x = 8,414.29 × 1,912.47
  4. Step 4: Simplify right side
    5,611.40x = 16,092,077.20
  5. Step 5: Solve for x
    x = 16,092,077.20/5,611.40
  6. Step 6: Final answer
    x = 2,867.75

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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.