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Finding the Fourth Proportional to 3,757.69, 5,636.84 and 1,160.63

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Solution

The fourth proportional to 3,757.69, 5,636.84 and 1,160.63 is: 1,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.69 : 5,636.84 = 1,160.63 : x
  2. Step 2: Convert to fraction form
    3,757.69/5,636.84 = 1,160.63/x
  3. Step 3: Cross multiply
    3,757.69x = 5,636.84 × 1,160.63
  4. Step 4: Simplify right side
    3,757.69x = 6,542,251.62
  5. Step 5: Solve for x
    x = 6,542,251.62/3,757.69
  6. Step 6: Final answer
    x = 1,741.03

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1.5x scale

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.