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Finding the Fourth Proportional to 6,494.56, 8,961.94 and 3,975.59

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Solution

The fourth proportional to 6,494.56, 8,961.94 and 3,975.59 is: 5,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.56 : 8,961.94 = 3,975.59 : x
  2. Step 2: Convert to fraction form
    6,494.56/8,961.94 = 3,975.59/x
  3. Step 3: Cross multiply
    6,494.56x = 8,961.94 × 3,975.59
  4. Step 4: Simplify right side
    6,494.56x = 35,628,999.04
  5. Step 5: Solve for x
    x = 35,628,999.04/6,494.56
  6. Step 6: Final answer
    x = 5,485.98

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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.