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Finding the Fourth Proportional to 6,410.31, 8,846.31 and 3,577.96

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Solution

The fourth proportional to 6,410.31, 8,846.31 and 3,577.96 is: 4,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.31 : 8,846.31 = 3,577.96 : x
  2. Step 2: Convert to fraction form
    6,410.31/8,846.31 = 3,577.96/x
  3. Step 3: Cross multiply
    6,410.31x = 8,846.31 × 3,577.96
  4. Step 4: Simplify right side
    6,410.31x = 31,651,743.33
  5. Step 5: Solve for x
    x = 31,651,743.33/6,410.31
  6. Step 6: Final answer
    x = 4,937.63

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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.