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Finding the Fourth Proportional to 4,728.80, 7,093.19 and 1,952.42

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Solution

The fourth proportional to 4,728.80, 7,093.19 and 1,952.42 is: 2,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.80 : 7,093.19 = 1,952.42 : x
  2. Step 2: Convert to fraction form
    4,728.80/7,093.19 = 1,952.42/x
  3. Step 3: Cross multiply
    4,728.80x = 7,093.19 × 1,952.42
  4. Step 4: Simplify right side
    4,728.80x = 13,848,886.02
  5. Step 5: Solve for x
    x = 13,848,886.02/4,728.80
  6. Step 6: Final answer
    x = 2,928.63

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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.