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Finding the Fourth Proportional to 5,175.98, 7,758.38 and 2,540.41

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Solution

The fourth proportional to 5,175.98, 7,758.38 and 2,540.41 is: 3,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.98 : 7,758.38 = 2,540.41 : x
  2. Step 2: Convert to fraction form
    5,175.98/7,758.38 = 2,540.41/x
  3. Step 3: Cross multiply
    5,175.98x = 7,758.38 × 2,540.41
  4. Step 4: Simplify right side
    5,175.98x = 19,709,496.73
  5. Step 5: Solve for x
    x = 19,709,496.73/5,175.98
  6. Step 6: Final answer
    x = 3,807.88

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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.