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Finding the Fourth Proportional to 4,114.56, 6,171.16 and 1,481.55

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Solution

The fourth proportional to 4,114.56, 6,171.16 and 1,481.55 is: 2,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.56 : 6,171.16 = 1,481.55 : x
  2. Step 2: Convert to fraction form
    4,114.56/6,171.16 = 1,481.55/x
  3. Step 3: Cross multiply
    4,114.56x = 6,171.16 × 1,481.55
  4. Step 4: Simplify right side
    4,114.56x = 9,142,882.10
  5. Step 5: Solve for x
    x = 9,142,882.10/4,114.56
  6. Step 6: Final answer
    x = 2,222.08

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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.