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Finding the Fourth Proportional to 5,111.56, 7,665.72 and 3,034.45

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Solution

The fourth proportional to 5,111.56, 7,665.72 and 3,034.45 is: 4,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.56 : 7,665.72 = 3,034.45 : x
  2. Step 2: Convert to fraction form
    5,111.56/7,665.72 = 3,034.45/x
  3. Step 3: Cross multiply
    5,111.56x = 7,665.72 × 3,034.45
  4. Step 4: Simplify right side
    5,111.56x = 23,261,244.05
  5. Step 5: Solve for x
    x = 23,261,244.05/5,111.56
  6. Step 6: Final answer
    x = 4,550.71

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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.