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Finding the Fourth Proportional to 6,186.69, 8,540.64 and 4,170.60

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Solution

The fourth proportional to 6,186.69, 8,540.64 and 4,170.60 is: 5,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.69 : 8,540.64 = 4,170.60 : x
  2. Step 2: Convert to fraction form
    6,186.69/8,540.64 = 4,170.60/x
  3. Step 3: Cross multiply
    6,186.69x = 8,540.64 × 4,170.60
  4. Step 4: Simplify right side
    6,186.69x = 35,619,593.18
  5. Step 5: Solve for x
    x = 35,619,593.18/6,186.69
  6. Step 6: Final answer
    x = 5,757.46

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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.