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Finding the Fourth Proportional to 3,843.44, 5,760.30 and 2,456.24

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Solution

The fourth proportional to 3,843.44, 5,760.30 and 2,456.24 is: 3,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.44 : 5,760.30 = 2,456.24 : x
  2. Step 2: Convert to fraction form
    3,843.44/5,760.30 = 2,456.24/x
  3. Step 3: Cross multiply
    3,843.44x = 5,760.30 × 2,456.24
  4. Step 4: Simplify right side
    3,843.44x = 14,148,679.27
  5. Step 5: Solve for x
    x = 14,148,679.27/3,843.44
  6. Step 6: Final answer
    x = 3,681.25

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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.