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Finding the Fourth Proportional to 6,410.60, 8,846.64 and 3,757.48

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Solution

The fourth proportional to 6,410.60, 8,846.64 and 3,757.48 is: 5,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.60 : 8,846.64 = 3,757.48 : x
  2. Step 2: Convert to fraction form
    6,410.60/8,846.64 = 3,757.48/x
  3. Step 3: Cross multiply
    6,410.60x = 8,846.64 × 3,757.48
  4. Step 4: Simplify right side
    6,410.60x = 33,241,072.87
  5. Step 5: Solve for x
    x = 33,241,072.87/6,410.60
  6. Step 6: Final answer
    x = 5,185.33

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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.