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Finding the Fourth Proportional to 3,796.80, 5,689.44 and 2,425.92

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Solution

The fourth proportional to 3,796.80, 5,689.44 and 2,425.92 is: 3,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.80 : 5,689.44 = 2,425.92 : x
  2. Step 2: Convert to fraction form
    3,796.80/5,689.44 = 2,425.92/x
  3. Step 3: Cross multiply
    3,796.80x = 5,689.44 × 2,425.92
  4. Step 4: Simplify right side
    3,796.80x = 13,802,126.28
  5. Step 5: Solve for x
    x = 13,802,126.28/3,796.80
  6. Step 6: Final answer
    x = 3,635.20

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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.