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Finding the Fourth Proportional to 4,896.50, 6,731.18 and 4,212.63

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Solution

The fourth proportional to 4,896.50, 6,731.18 and 4,212.63 is: 5,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.50 : 6,731.18 = 4,212.63 : x
  2. Step 2: Convert to fraction form
    4,896.50/6,731.18 = 4,212.63/x
  3. Step 3: Cross multiply
    4,896.50x = 6,731.18 × 4,212.63
  4. Step 4: Simplify right side
    4,896.50x = 28,355,996.05
  5. Step 5: Solve for x
    x = 28,355,996.05/4,896.50
  6. Step 6: Final answer
    x = 5,791.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.