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Finding the Fourth Proportional to 4,805.56, 7,204.26 and 2,034.40

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Solution

The fourth proportional to 4,805.56, 7,204.26 and 2,034.40 is: 3,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.56 : 7,204.26 = 2,034.40 : x
  2. Step 2: Convert to fraction form
    4,805.56/7,204.26 = 2,034.40/x
  3. Step 3: Cross multiply
    4,805.56x = 7,204.26 × 2,034.40
  4. Step 4: Simplify right side
    4,805.56x = 14,656,346.54
  5. Step 5: Solve for x
    x = 14,656,346.54/4,805.56
  6. Step 6: Final answer
    x = 3,049.87

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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.