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Finding the Fourth Proportional to 5,351.54, 7,382.72 and 3,112.83

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Solution

The fourth proportional to 5,351.54, 7,382.72 and 3,112.83 is: 4,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.54 : 7,382.72 = 3,112.83 : x
  2. Step 2: Convert to fraction form
    5,351.54/7,382.72 = 3,112.83/x
  3. Step 3: Cross multiply
    5,351.54x = 7,382.72 × 3,112.83
  4. Step 4: Simplify right side
    5,351.54x = 22,981,151.32
  5. Step 5: Solve for x
    x = 22,981,151.32/5,351.54
  6. Step 6: Final answer
    x = 4,294.30

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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.