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Finding the Fourth Proportional to 4,728.97, 7,093.46 and 1,952.59

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Solution

The fourth proportional to 4,728.97, 7,093.46 and 1,952.59 is: 2,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.97 : 7,093.46 = 1,952.59 : x
  2. Step 2: Convert to fraction form
    4,728.97/7,093.46 = 1,952.59/x
  3. Step 3: Cross multiply
    4,728.97x = 7,093.46 × 1,952.59
  4. Step 4: Simplify right side
    4,728.97x = 13,850,609.30
  5. Step 5: Solve for x
    x = 13,850,609.30/4,728.97
  6. Step 6: Final answer
    x = 2,928.89

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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.