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Finding the Fourth Proportional to 3,847.50, 5,775.40 and 1,903.80

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Solution

The fourth proportional to 3,847.50, 5,775.40 and 1,903.80 is: 2,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.50 : 5,775.40 = 1,903.80 : x
  2. Step 2: Convert to fraction form
    3,847.50/5,775.40 = 1,903.80/x
  3. Step 3: Cross multiply
    3,847.50x = 5,775.40 × 1,903.80
  4. Step 4: Simplify right side
    3,847.50x = 10,995,230.56
  5. Step 5: Solve for x
    x = 10,995,230.56/3,847.50
  6. Step 6: Final answer
    x = 2,857.76

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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.