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Finding the Fourth Proportional to 6,229.44, 8,600.48 and 5,097.60

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Solution

The fourth proportional to 6,229.44, 8,600.48 and 5,097.60 is: 7,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.44 : 8,600.48 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    6,229.44/8,600.48 = 5,097.60/x
  3. Step 3: Cross multiply
    6,229.44x = 8,600.48 × 5,097.60
  4. Step 4: Simplify right side
    6,229.44x = 43,841,806.85
  5. Step 5: Solve for x
    x = 43,841,806.85/6,229.44
  6. Step 6: Final answer
    x = 7,037.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.