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Finding the Fourth Proportional to 5,141.36, 7,729.12 and 4,223.72

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Solution

The fourth proportional to 5,141.36, 7,729.12 and 4,223.72 is: 6,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.36 : 7,729.12 = 4,223.72 : x
  2. Step 2: Convert to fraction form
    5,141.36/7,729.12 = 4,223.72/x
  3. Step 3: Cross multiply
    5,141.36x = 7,729.12 × 4,223.72
  4. Step 4: Simplify right side
    5,141.36x = 32,645,638.73
  5. Step 5: Solve for x
    x = 32,645,638.73/5,141.36
  6. Step 6: Final answer
    x = 6,349.61

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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.