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Finding the Fourth Proportional to 4,311, 6,469.20 and 1,714.14

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Solution

The fourth proportional to 4,311, 6,469.20 and 1,714.14 is: 2,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 6,469.20 = 1,714.14 : x
  2. Step 2: Convert to fraction form
    4,311/6,469.20 = 1,714.14/x
  3. Step 3: Cross multiply
    4,311x = 6,469.20 × 1,714.14
  4. Step 4: Simplify right side
    4,311x = 11,089,114.49
  5. Step 5: Solve for x
    x = 11,089,114.49/4,311
  6. Step 6: Final answer
    x = 2,572.28

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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.