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Finding the Fourth Proportional to 5,823.26, 8,035.84 and 3,170.67

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Solution

The fourth proportional to 5,823.26, 8,035.84 and 3,170.67 is: 4,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.26 : 8,035.84 = 3,170.67 : x
  2. Step 2: Convert to fraction form
    5,823.26/8,035.84 = 3,170.67/x
  3. Step 3: Cross multiply
    5,823.26x = 8,035.84 × 3,170.67
  4. Step 4: Simplify right side
    5,823.26x = 25,478,996.81
  5. Step 5: Solve for x
    x = 25,478,996.81/5,823.26
  6. Step 6: Final answer
    x = 4,375.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.