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Finding the Fourth Proportional to 5,304.72, 7,960.28 and 4,212.88

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Solution

The fourth proportional to 5,304.72, 7,960.28 and 4,212.88 is: 6,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.72 : 7,960.28 = 4,212.88 : x
  2. Step 2: Convert to fraction form
    5,304.72/7,960.28 = 4,212.88/x
  3. Step 3: Cross multiply
    5,304.72x = 7,960.28 × 4,212.88
  4. Step 4: Simplify right side
    5,304.72x = 33,535,704.41
  5. Step 5: Solve for x
    x = 33,535,704.41/5,304.72
  6. Step 6: Final answer
    x = 6,321.86

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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.