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Finding the Fourth Proportional to 3,517.47, 5,273.78 and 1,760.58

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Solution

The fourth proportional to 3,517.47, 5,273.78 and 1,760.58 is: 2,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.47 : 5,273.78 = 1,760.58 : x
  2. Step 2: Convert to fraction form
    3,517.47/5,273.78 = 1,760.58/x
  3. Step 3: Cross multiply
    3,517.47x = 5,273.78 × 1,760.58
  4. Step 4: Simplify right side
    3,517.47x = 9,284,920.38
  5. Step 5: Solve for x
    x = 9,284,920.38/3,517.47
  6. Step 6: Final answer
    x = 2,639.66

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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.