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Finding the Fourth Proportional to 3,854.62, 5,776.85 and 1,744.67

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Solution

The fourth proportional to 3,854.62, 5,776.85 and 1,744.67 is: 2,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.62 : 5,776.85 = 1,744.67 : x
  2. Step 2: Convert to fraction form
    3,854.62/5,776.85 = 1,744.67/x
  3. Step 3: Cross multiply
    3,854.62x = 5,776.85 × 1,744.67
  4. Step 4: Simplify right side
    3,854.62x = 10,078,715.69
  5. Step 5: Solve for x
    x = 10,078,715.69/3,854.62
  6. Step 6: Final answer
    x = 2,614.71

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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.