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Finding the Fourth Proportional to 4,944.80, 6,829.68 and 3,764

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Solution

The fourth proportional to 4,944.80, 6,829.68 and 3,764 is: 5,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.80 : 6,829.68 = 3,764 : x
  2. Step 2: Convert to fraction form
    4,944.80/6,829.68 = 3,764/x
  3. Step 3: Cross multiply
    4,944.80x = 6,829.68 × 3,764
  4. Step 4: Simplify right side
    4,944.80x = 25,706,915.52
  5. Step 5: Solve for x
    x = 25,706,915.52/4,944.80
  6. Step 6: Final answer
    x = 5,198.78

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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.