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Finding the Fourth Proportional to 4,227, 6,340.44 and 1,629.88

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Solution

The fourth proportional to 4,227, 6,340.44 and 1,629.88 is: 2,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227 : 6,340.44 = 1,629.88 : x
  2. Step 2: Convert to fraction form
    4,227/6,340.44 = 1,629.88/x
  3. Step 3: Cross multiply
    4,227x = 6,340.44 × 1,629.88
  4. Step 4: Simplify right side
    4,227x = 10,334,156.35
  5. Step 5: Solve for x
    x = 10,334,156.35/4,227
  6. Step 6: Final answer
    x = 2,444.80

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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.