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Finding the Fourth Proportional to 4,234.64, 5,843.82 and 2,467.46

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Solution

The fourth proportional to 4,234.64, 5,843.82 and 2,467.46 is: 3,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.64 : 5,843.82 = 2,467.46 : x
  2. Step 2: Convert to fraction form
    4,234.64/5,843.82 = 2,467.46/x
  3. Step 3: Cross multiply
    4,234.64x = 5,843.82 × 2,467.46
  4. Step 4: Simplify right side
    4,234.64x = 14,419,392.10
  5. Step 5: Solve for x
    x = 14,419,392.10/4,234.64
  6. Step 6: Final answer
    x = 3,405.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.