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Finding the Fourth Proportional to 5,611.22, 8,416.83 and 2,148.47

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Solution

The fourth proportional to 5,611.22, 8,416.83 and 2,148.47 is: 3,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.22 : 8,416.83 = 2,148.47 : x
  2. Step 2: Convert to fraction form
    5,611.22/8,416.83 = 2,148.47/x
  3. Step 3: Cross multiply
    5,611.22x = 8,416.83 × 2,148.47
  4. Step 4: Simplify right side
    5,611.22x = 18,083,292.20
  5. Step 5: Solve for x
    x = 18,083,292.20/5,611.22
  6. Step 6: Final answer
    x = 3,222.70

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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.