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Finding the Fourth Proportional to 3,847.35, 5,771.04 and 925.67

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Solution

The fourth proportional to 3,847.35, 5,771.04 and 925.67 is: 1,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.35 : 5,771.04 = 925.67 : x
  2. Step 2: Convert to fraction form
    3,847.35/5,771.04 = 925.67/x
  3. Step 3: Cross multiply
    3,847.35x = 5,771.04 × 925.67
  4. Step 4: Simplify right side
    3,847.35x = 5,342,049.74
  5. Step 5: Solve for x
    x = 5,342,049.74/3,847.35
  6. Step 6: Final answer
    x = 1,388.50

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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.