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Finding the Fourth Proportional to 3,780.43, 5,217.02 and 2,287.98

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Solution

The fourth proportional to 3,780.43, 5,217.02 and 2,287.98 is: 3,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.43 : 5,217.02 = 2,287.98 : x
  2. Step 2: Convert to fraction form
    3,780.43/5,217.02 = 2,287.98/x
  3. Step 3: Cross multiply
    3,780.43x = 5,217.02 × 2,287.98
  4. Step 4: Simplify right side
    3,780.43x = 11,936,426.77
  5. Step 5: Solve for x
    x = 11,936,426.77/3,780.43
  6. Step 6: Final answer
    x = 3,157.42

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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.