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Finding the Fourth Proportional to 4,757.69, 7,133.49 and 2,287.59

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Solution

The fourth proportional to 4,757.69, 7,133.49 and 2,287.59 is: 3,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.69 : 7,133.49 = 2,287.59 : x
  2. Step 2: Convert to fraction form
    4,757.69/7,133.49 = 2,287.59/x
  3. Step 3: Cross multiply
    4,757.69x = 7,133.49 × 2,287.59
  4. Step 4: Simplify right side
    4,757.69x = 16,318,500.39
  5. Step 5: Solve for x
    x = 16,318,500.39/4,757.69
  6. Step 6: Final answer
    x = 3,429.92

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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.