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Finding the Fourth Proportional to 3,841.62, 5,756.10 and 3,697.68

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Solution

The fourth proportional to 3,841.62, 5,756.10 and 3,697.68 is: 5,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.62 : 5,756.10 = 3,697.68 : x
  2. Step 2: Convert to fraction form
    3,841.62/5,756.10 = 3,697.68/x
  3. Step 3: Cross multiply
    3,841.62x = 5,756.10 × 3,697.68
  4. Step 4: Simplify right side
    3,841.62x = 21,284,215.85
  5. Step 5: Solve for x
    x = 21,284,215.85/3,841.62
  6. Step 6: Final answer
    x = 5,540.43

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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.