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Finding the Fourth Proportional to 5,611.74, 8,420.13 and 2,147.82

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Solution

The fourth proportional to 5,611.74, 8,420.13 and 2,147.82 is: 3,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.74 : 8,420.13 = 2,147.82 : x
  2. Step 2: Convert to fraction form
    5,611.74/8,420.13 = 2,147.82/x
  3. Step 3: Cross multiply
    5,611.74x = 8,420.13 × 2,147.82
  4. Step 4: Simplify right side
    5,611.74x = 18,084,923.62
  5. Step 5: Solve for x
    x = 18,084,923.62/5,611.74
  6. Step 6: Final answer
    x = 3,222.69

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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.