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Finding the Fourth Proportional to 4,311, 6,467.28 and 2,851.36

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Solution

The fourth proportional to 4,311, 6,467.28 and 2,851.36 is: 4,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 6,467.28 = 2,851.36 : x
  2. Step 2: Convert to fraction form
    4,311/6,467.28 = 2,851.36/x
  3. Step 3: Cross multiply
    4,311x = 6,467.28 × 2,851.36
  4. Step 4: Simplify right side
    4,311x = 18,440,543.50
  5. Step 5: Solve for x
    x = 18,440,543.50/4,311
  6. Step 6: Final answer
    x = 4,277.56

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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.