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Finding the Fourth Proportional to 6,225.96, 8,591.85 and 3,431.46

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Solution

The fourth proportional to 6,225.96, 8,591.85 and 3,431.46 is: 4,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.96 : 8,591.85 = 3,431.46 : x
  2. Step 2: Convert to fraction form
    6,225.96/8,591.85 = 3,431.46/x
  3. Step 3: Cross multiply
    6,225.96x = 8,591.85 × 3,431.46
  4. Step 4: Simplify right side
    6,225.96x = 29,482,589.60
  5. Step 5: Solve for x
    x = 29,482,589.60/6,225.96
  6. Step 6: Final answer
    x = 4,735.43

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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.