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Finding the Fourth Proportional to 6,116.20, 8,441.04 and 4,227.20

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Solution

The fourth proportional to 6,116.20, 8,441.04 and 4,227.20 is: 5,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.20 : 8,441.04 = 4,227.20 : x
  2. Step 2: Convert to fraction form
    6,116.20/8,441.04 = 4,227.20/x
  3. Step 3: Cross multiply
    6,116.20x = 8,441.04 × 4,227.20
  4. Step 4: Simplify right side
    6,116.20x = 35,681,964.29
  5. Step 5: Solve for x
    x = 35,681,964.29/6,116.20
  6. Step 6: Final answer
    x = 5,834.01

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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.