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Finding the Fourth Proportional to 3,757.98, 5,629.68 and 2,769

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Solution

The fourth proportional to 3,757.98, 5,629.68 and 2,769 is: 4,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.98 : 5,629.68 = 2,769 : x
  2. Step 2: Convert to fraction form
    3,757.98/5,629.68 = 2,769/x
  3. Step 3: Cross multiply
    3,757.98x = 5,629.68 × 2,769
  4. Step 4: Simplify right side
    3,757.98x = 15,588,583.92
  5. Step 5: Solve for x
    x = 15,588,583.92/3,757.98
  6. Step 6: Final answer
    x = 4,148.13

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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.