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Finding the Fourth Proportional to 3,659.22, 5,500.98 and 2,837.88

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Solution

The fourth proportional to 3,659.22, 5,500.98 and 2,837.88 is: 4,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.22 : 5,500.98 = 2,837.88 : x
  2. Step 2: Convert to fraction form
    3,659.22/5,500.98 = 2,837.88/x
  3. Step 3: Cross multiply
    3,659.22x = 5,500.98 × 2,837.88
  4. Step 4: Simplify right side
    3,659.22x = 15,611,121.12
  5. Step 5: Solve for x
    x = 15,611,121.12/3,659.22
  6. Step 6: Final answer
    x = 4,266.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.