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Finding the Fourth Proportional to 4,814.72, 7,234.24 and 4,620.32

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Solution

The fourth proportional to 4,814.72, 7,234.24 and 4,620.32 is: 6,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.72 : 7,234.24 = 4,620.32 : x
  2. Step 2: Convert to fraction form
    4,814.72/7,234.24 = 4,620.32/x
  3. Step 3: Cross multiply
    4,814.72x = 7,234.24 × 4,620.32
  4. Step 4: Simplify right side
    4,814.72x = 33,424,503.76
  5. Step 5: Solve for x
    x = 33,424,503.76/4,814.72
  6. Step 6: Final answer
    x = 6,942.15

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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.