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Finding the Fourth Proportional to 3,843.63, 5,760.57 and 2,607.96

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Solution

The fourth proportional to 3,843.63, 5,760.57 and 2,607.96 is: 3,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.63 : 5,760.57 = 2,607.96 : x
  2. Step 2: Convert to fraction form
    3,843.63/5,760.57 = 2,607.96/x
  3. Step 3: Cross multiply
    3,843.63x = 5,760.57 × 2,607.96
  4. Step 4: Simplify right side
    3,843.63x = 15,023,336.14
  5. Step 5: Solve for x
    x = 15,023,336.14/3,843.63
  6. Step 6: Final answer
    x = 3,908.63

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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.