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Finding the Fourth Proportional to 3,757.57, 5,635.42 and 1,782.68

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Solution

The fourth proportional to 3,757.57, 5,635.42 and 1,782.68 is: 2,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.57 : 5,635.42 = 1,782.68 : x
  2. Step 2: Convert to fraction form
    3,757.57/5,635.42 = 1,782.68/x
  3. Step 3: Cross multiply
    3,757.57x = 5,635.42 × 1,782.68
  4. Step 4: Simplify right side
    3,757.57x = 10,046,127.92
  5. Step 5: Solve for x
    x = 10,046,127.92/3,757.57
  6. Step 6: Final answer
    x = 2,673.57

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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.