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Finding the Fourth Proportional to 4,005.12, 6,000.96 and 3,234.24

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Solution

The fourth proportional to 4,005.12, 6,000.96 and 3,234.24 is: 4,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.12 : 6,000.96 = 3,234.24 : x
  2. Step 2: Convert to fraction form
    4,005.12/6,000.96 = 3,234.24/x
  3. Step 3: Cross multiply
    4,005.12x = 6,000.96 × 3,234.24
  4. Step 4: Simplify right side
    4,005.12x = 19,408,544.87
  5. Step 5: Solve for x
    x = 19,408,544.87/4,005.12
  6. Step 6: Final answer
    x = 4,845.93

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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.