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Finding the Fourth Proportional to 4,805.54, 7,208.73 and 1,517.78

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Solution

The fourth proportional to 4,805.54, 7,208.73 and 1,517.78 is: 2,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.54 : 7,208.73 = 1,517.78 : x
  2. Step 2: Convert to fraction form
    4,805.54/7,208.73 = 1,517.78/x
  3. Step 3: Cross multiply
    4,805.54x = 7,208.73 × 1,517.78
  4. Step 4: Simplify right side
    4,805.54x = 10,941,266.22
  5. Step 5: Solve for x
    x = 10,941,266.22/4,805.54
  6. Step 6: Final answer
    x = 2,276.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.