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Finding the Fourth Proportional to 4,186.40, 6,272.40 and 3,927.20

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Solution

The fourth proportional to 4,186.40, 6,272.40 and 3,927.20 is: 5,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.40 : 6,272.40 = 3,927.20 : x
  2. Step 2: Convert to fraction form
    4,186.40/6,272.40 = 3,927.20/x
  3. Step 3: Cross multiply
    4,186.40x = 6,272.40 × 3,927.20
  4. Step 4: Simplify right side
    4,186.40x = 24,632,969.28
  5. Step 5: Solve for x
    x = 24,632,969.28/4,186.40
  6. Step 6: Final answer
    x = 5,884.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.