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Finding the Fourth Proportional to 5,172.80, 7,761.07 and 2,540.02

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Solution

The fourth proportional to 5,172.80, 7,761.07 and 2,540.02 is: 3,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.80 : 7,761.07 = 2,540.02 : x
  2. Step 2: Convert to fraction form
    5,172.80/7,761.07 = 2,540.02/x
  3. Step 3: Cross multiply
    5,172.80x = 7,761.07 × 2,540.02
  4. Step 4: Simplify right side
    5,172.80x = 19,713,273.02
  5. Step 5: Solve for x
    x = 19,713,273.02/5,172.80
  6. Step 6: Final answer
    x = 3,810.95

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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.