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Finding the Fourth Proportional to 5,422.08, 8,134.65 and 1,912.97

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Solution

The fourth proportional to 5,422.08, 8,134.65 and 1,912.97 is: 2,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.08 : 8,134.65 = 1,912.97 : x
  2. Step 2: Convert to fraction form
    5,422.08/8,134.65 = 1,912.97/x
  3. Step 3: Cross multiply
    5,422.08x = 8,134.65 × 1,912.97
  4. Step 4: Simplify right side
    5,422.08x = 15,561,341.41
  5. Step 5: Solve for x
    x = 15,561,341.41/5,422.08
  6. Step 6: Final answer
    x = 2,869.99

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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.