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Finding the Fourth Proportional to 5,743.98, 7,928.69 and 3,385.98

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Solution

The fourth proportional to 5,743.98, 7,928.69 and 3,385.98 is: 4,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.98 : 7,928.69 = 3,385.98 : x
  2. Step 2: Convert to fraction form
    5,743.98/7,928.69 = 3,385.98/x
  3. Step 3: Cross multiply
    5,743.98x = 7,928.69 × 3,385.98
  4. Step 4: Simplify right side
    5,743.98x = 26,846,385.77
  5. Step 5: Solve for x
    x = 26,846,385.77/5,743.98
  6. Step 6: Final answer
    x = 4,673.83

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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.