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Finding the Fourth Proportional to 5,743.73, 7,928.34 and 3,385.73

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Solution

The fourth proportional to 5,743.73, 7,928.34 and 3,385.73 is: 4,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.73 : 7,928.34 = 3,385.73 : x
  2. Step 2: Convert to fraction form
    5,743.73/7,928.34 = 3,385.73/x
  3. Step 3: Cross multiply
    5,743.73x = 7,928.34 × 3,385.73
  4. Step 4: Simplify right side
    5,743.73x = 26,843,218.59
  5. Step 5: Solve for x
    x = 26,843,218.59/5,743.73
  6. Step 6: Final answer
    x = 4,673.48

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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.