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Finding the Fourth Proportional to 5,742.27, 8,613.14 and 3,371.67

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Solution

The fourth proportional to 5,742.27, 8,613.14 and 3,371.67 is: 5,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.27 : 8,613.14 = 3,371.67 : x
  2. Step 2: Convert to fraction form
    5,742.27/8,613.14 = 3,371.67/x
  3. Step 3: Cross multiply
    5,742.27x = 8,613.14 × 3,371.67
  4. Step 4: Simplify right side
    5,742.27x = 29,040,648.89
  5. Step 5: Solve for x
    x = 29,040,648.89/5,742.27
  6. Step 6: Final answer
    x = 5,057.35

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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.