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Finding the Fourth Proportional to 5,418.94, 7,481.42 and 3,533.80

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Solution

The fourth proportional to 5,418.94, 7,481.42 and 3,533.80 is: 4,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.94 : 7,481.42 = 3,533.80 : x
  2. Step 2: Convert to fraction form
    5,418.94/7,481.42 = 3,533.80/x
  3. Step 3: Cross multiply
    5,418.94x = 7,481.42 × 3,533.80
  4. Step 4: Simplify right side
    5,418.94x = 26,437,859.46
  5. Step 5: Solve for x
    x = 26,437,859.46/5,418.94
  6. Step 6: Final answer
    x = 4,878.79

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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.