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Finding the Fourth Proportional to 5,754.30, 7,940.62 and 3,519.92

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Solution

The fourth proportional to 5,754.30, 7,940.62 and 3,519.92 is: 4,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.30 : 7,940.62 = 3,519.92 : x
  2. Step 2: Convert to fraction form
    5,754.30/7,940.62 = 3,519.92/x
  3. Step 3: Cross multiply
    5,754.30x = 7,940.62 × 3,519.92
  4. Step 4: Simplify right side
    5,754.30x = 27,950,347.15
  5. Step 5: Solve for x
    x = 27,950,347.15/5,754.30
  6. Step 6: Final answer
    x = 4,857.30

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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.