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Finding the Fourth Proportional to 4,266.56, 6,388.76 and 3,654.20

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Solution

The fourth proportional to 4,266.56, 6,388.76 and 3,654.20 is: 5,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.56 : 6,388.76 = 3,654.20 : x
  2. Step 2: Convert to fraction form
    4,266.56/6,388.76 = 3,654.20/x
  3. Step 3: Cross multiply
    4,266.56x = 6,388.76 × 3,654.20
  4. Step 4: Simplify right side
    4,266.56x = 23,345,806.79
  5. Step 5: Solve for x
    x = 23,345,806.79/4,266.56
  6. Step 6: Final answer
    x = 5,471.81

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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.