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Finding the Fourth Proportional to 4,872.69, 7,304.16 and 2,409.27

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Solution

The fourth proportional to 4,872.69, 7,304.16 and 2,409.27 is: 3,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.69 : 7,304.16 = 2,409.27 : x
  2. Step 2: Convert to fraction form
    4,872.69/7,304.16 = 2,409.27/x
  3. Step 3: Cross multiply
    4,872.69x = 7,304.16 × 2,409.27
  4. Step 4: Simplify right side
    4,872.69x = 17,597,693.56
  5. Step 5: Solve for x
    x = 17,597,693.56/4,872.69
  6. Step 6: Final answer
    x = 3,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.