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Finding the Fourth Proportional to 4,896.48, 6,757.76 and 3,033.76

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Solution

The fourth proportional to 4,896.48, 6,757.76 and 3,033.76 is: 4,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.48 : 6,757.76 = 3,033.76 : x
  2. Step 2: Convert to fraction form
    4,896.48/6,757.76 = 3,033.76/x
  3. Step 3: Cross multiply
    4,896.48x = 6,757.76 × 3,033.76
  4. Step 4: Simplify right side
    4,896.48x = 20,501,421.98
  5. Step 5: Solve for x
    x = 20,501,421.98/4,896.48
  6. Step 6: Final answer
    x = 4,186.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.