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Finding the Fourth Proportional to 4,285.12, 6,433.12 and 3,311.84

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Solution

The fourth proportional to 4,285.12, 6,433.12 and 3,311.84 is: 4,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.12 : 6,433.12 = 3,311.84 : x
  2. Step 2: Convert to fraction form
    4,285.12/6,433.12 = 3,311.84/x
  3. Step 3: Cross multiply
    4,285.12x = 6,433.12 × 3,311.84
  4. Step 4: Simplify right side
    4,285.12x = 21,305,464.14
  5. Step 5: Solve for x
    x = 21,305,464.14/4,285.12
  6. Step 6: Final answer
    x = 4,971.96

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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.