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Finding the Fourth Proportional to 3,843.59, 5,304.24 and 2,271.69

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Solution

The fourth proportional to 3,843.59, 5,304.24 and 2,271.69 is: 3,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.59 : 5,304.24 = 2,271.69 : x
  2. Step 2: Convert to fraction form
    3,843.59/5,304.24 = 2,271.69/x
  3. Step 3: Cross multiply
    3,843.59x = 5,304.24 × 2,271.69
  4. Step 4: Simplify right side
    3,843.59x = 12,049,588.97
  5. Step 5: Solve for x
    x = 12,049,588.97/3,843.59
  6. Step 6: Final answer
    x = 3,134.99

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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.