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Finding the Fourth Proportional to 3,843.56, 5,304.89 and 2,516.78

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Solution

The fourth proportional to 3,843.56, 5,304.89 and 2,516.78 is: 3,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.56 : 5,304.89 = 2,516.78 : x
  2. Step 2: Convert to fraction form
    3,843.56/5,304.89 = 2,516.78/x
  3. Step 3: Cross multiply
    3,843.56x = 5,304.89 × 2,516.78
  4. Step 4: Simplify right side
    3,843.56x = 13,351,228.47
  5. Step 5: Solve for x
    x = 13,351,228.47/3,843.56
  6. Step 6: Final answer
    x = 3,473.66

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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.