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Finding the Fourth Proportional to 3,843.96, 5,304.78 and 2,271.48

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Solution

The fourth proportional to 3,843.96, 5,304.78 and 2,271.48 is: 3,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.96 : 5,304.78 = 2,271.48 : x
  2. Step 2: Convert to fraction form
    3,843.96/5,304.78 = 2,271.48/x
  3. Step 3: Cross multiply
    3,843.96x = 5,304.78 × 2,271.48
  4. Step 4: Simplify right side
    3,843.96x = 12,049,701.67
  5. Step 5: Solve for x
    x = 12,049,701.67/3,843.96
  6. Step 6: Final answer
    x = 3,134.71

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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.