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Finding the Fourth Proportional to 3,709.60, 5,563.50 and 1,243.78

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Solution

The fourth proportional to 3,709.60, 5,563.50 and 1,243.78 is: 1,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.60 : 5,563.50 = 1,243.78 : x
  2. Step 2: Convert to fraction form
    3,709.60/5,563.50 = 1,243.78/x
  3. Step 3: Cross multiply
    3,709.60x = 5,563.50 × 1,243.78
  4. Step 4: Simplify right side
    3,709.60x = 6,919,770.03
  5. Step 5: Solve for x
    x = 6,919,770.03/3,709.60
  6. Step 6: Final answer
    x = 1,865.37

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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.