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Finding the Fourth Proportional to 5,422.86, 8,132.15 and 1,912.11

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Solution

The fourth proportional to 5,422.86, 8,132.15 and 1,912.11 is: 2,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.86 : 8,132.15 = 1,912.11 : x
  2. Step 2: Convert to fraction form
    5,422.86/8,132.15 = 1,912.11/x
  3. Step 3: Cross multiply
    5,422.86x = 8,132.15 × 1,912.11
  4. Step 4: Simplify right side
    5,422.86x = 15,549,555.78
  5. Step 5: Solve for x
    x = 15,549,555.78/5,422.86
  6. Step 6: Final answer
    x = 2,867.41

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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.