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Finding the Fourth Proportional to 6,410.53, 8,845.92 and 3,577.68

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Solution

The fourth proportional to 6,410.53, 8,845.92 and 3,577.68 is: 4,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.53 : 8,845.92 = 3,577.68 : x
  2. Step 2: Convert to fraction form
    6,410.53/8,845.92 = 3,577.68/x
  3. Step 3: Cross multiply
    6,410.53x = 8,845.92 × 3,577.68
  4. Step 4: Simplify right side
    6,410.53x = 31,647,871.07
  5. Step 5: Solve for x
    x = 31,647,871.07/6,410.53
  6. Step 6: Final answer
    x = 4,936.86

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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.