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Finding the Fourth Proportional to 3,187.87, 4,781.28 and 996.01

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Solution

The fourth proportional to 3,187.87, 4,781.28 and 996.01 is: 1,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.87 : 4,781.28 = 996.01 : x
  2. Step 2: Convert to fraction form
    3,187.87/4,781.28 = 996.01/x
  3. Step 3: Cross multiply
    3,187.87x = 4,781.28 × 996.01
  4. Step 4: Simplify right side
    3,187.87x = 4,762,202.69
  5. Step 5: Solve for x
    x = 4,762,202.69/3,187.87
  6. Step 6: Final answer
    x = 1,493.85

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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.