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Finding the Fourth Proportional to 3,484.73, 5,227.58 and 1,293.28

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Solution

The fourth proportional to 3,484.73, 5,227.58 and 1,293.28 is: 1,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.73 : 5,227.58 = 1,293.28 : x
  2. Step 2: Convert to fraction form
    3,484.73/5,227.58 = 1,293.28/x
  3. Step 3: Cross multiply
    3,484.73x = 5,227.58 × 1,293.28
  4. Step 4: Simplify right side
    3,484.73x = 6,760,692.06
  5. Step 5: Solve for x
    x = 6,760,692.06/3,484.73
  6. Step 6: Final answer
    x = 1,940.09

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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.