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Finding the Fourth Proportional to 6,225.76, 8,591.42 and 3,431.26

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Solution

The fourth proportional to 6,225.76, 8,591.42 and 3,431.26 is: 4,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.76 : 8,591.42 = 3,431.26 : x
  2. Step 2: Convert to fraction form
    6,225.76/8,591.42 = 3,431.26/x
  3. Step 3: Cross multiply
    6,225.76x = 8,591.42 × 3,431.26
  4. Step 4: Simplify right side
    6,225.76x = 29,479,335.68
  5. Step 5: Solve for x
    x = 29,479,335.68/6,225.76
  6. Step 6: Final answer
    x = 4,735.06

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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.