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Finding the Fourth Proportional to 4,635.44, 6,918.34 and 4,007.96

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Solution

The fourth proportional to 4,635.44, 6,918.34 and 4,007.96 is: 5,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.44 : 6,918.34 = 4,007.96 : x
  2. Step 2: Convert to fraction form
    4,635.44/6,918.34 = 4,007.96/x
  3. Step 3: Cross multiply
    4,635.44x = 6,918.34 × 4,007.96
  4. Step 4: Simplify right side
    4,635.44x = 27,728,429.99
  5. Step 5: Solve for x
    x = 27,728,429.99/4,635.44
  6. Step 6: Final answer
    x = 5,981.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.