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Finding the Fourth Proportional to 4,311.70, 6,467.57 and 1,714.64

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Solution

The fourth proportional to 4,311.70, 6,467.57 and 1,714.64 is: 2,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.70 : 6,467.57 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    4,311.70/6,467.57 = 1,714.64/x
  3. Step 3: Cross multiply
    4,311.70x = 6,467.57 × 1,714.64
  4. Step 4: Simplify right side
    4,311.70x = 11,089,513.31
  5. Step 5: Solve for x
    x = 11,089,513.31/4,311.70
  6. Step 6: Final answer
    x = 2,571.96

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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.