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Finding the Fourth Proportional to 4,805.87, 7,205.89 and 2,338.20

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Solution

The fourth proportional to 4,805.87, 7,205.89 and 2,338.20 is: 3,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.87 : 7,205.89 = 2,338.20 : x
  2. Step 2: Convert to fraction form
    4,805.87/7,205.89 = 2,338.20/x
  3. Step 3: Cross multiply
    4,805.87x = 7,205.89 × 2,338.20
  4. Step 4: Simplify right side
    4,805.87x = 16,848,812.00
  5. Step 5: Solve for x
    x = 16,848,812.00/4,805.87
  6. Step 6: Final answer
    x = 3,505.88

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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.