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Finding the Fourth Proportional to 5,383.48, 8,072.70 and 2,262.82

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Solution

The fourth proportional to 5,383.48, 8,072.70 and 2,262.82 is: 3,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.48 : 8,072.70 = 2,262.82 : x
  2. Step 2: Convert to fraction form
    5,383.48/8,072.70 = 2,262.82/x
  3. Step 3: Cross multiply
    5,383.48x = 8,072.70 × 2,262.82
  4. Step 4: Simplify right side
    5,383.48x = 18,267,067.01
  5. Step 5: Solve for x
    x = 18,267,067.01/5,383.48
  6. Step 6: Final answer
    x = 3,393.17

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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.