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Finding the Fourth Proportional to 6,496.42, 8,962.94 and 3,975.90

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Solution

The fourth proportional to 6,496.42, 8,962.94 and 3,975.90 is: 5,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.42 : 8,962.94 = 3,975.90 : x
  2. Step 2: Convert to fraction form
    6,496.42/8,962.94 = 3,975.90/x
  3. Step 3: Cross multiply
    6,496.42x = 8,962.94 × 3,975.90
  4. Step 4: Simplify right side
    6,496.42x = 35,635,753.15
  5. Step 5: Solve for x
    x = 35,635,753.15/6,496.42
  6. Step 6: Final answer
    x = 5,485.44

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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.