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Finding the Fourth Proportional to 3,850.53, 5,768.51 and 1,998.87

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Solution

The fourth proportional to 3,850.53, 5,768.51 and 1,998.87 is: 2,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.53 : 5,768.51 = 1,998.87 : x
  2. Step 2: Convert to fraction form
    3,850.53/5,768.51 = 1,998.87/x
  3. Step 3: Cross multiply
    3,850.53x = 5,768.51 × 1,998.87
  4. Step 4: Simplify right side
    3,850.53x = 11,530,491.59
  5. Step 5: Solve for x
    x = 11,530,491.59/3,850.53
  6. Step 6: Final answer
    x = 2,994.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.