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Finding the Fourth Proportional to 6,264.29, 8,644.62 and 3,431.64

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Solution

The fourth proportional to 6,264.29, 8,644.62 and 3,431.64 is: 4,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.29 : 8,644.62 = 3,431.64 : x
  2. Step 2: Convert to fraction form
    6,264.29/8,644.62 = 3,431.64/x
  3. Step 3: Cross multiply
    6,264.29x = 8,644.62 × 3,431.64
  4. Step 4: Simplify right side
    6,264.29x = 29,665,232.36
  5. Step 5: Solve for x
    x = 29,665,232.36/6,264.29
  6. Step 6: Final answer
    x = 4,735.61

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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.