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Finding the Fourth Proportional to 3,847.70, 5,771.55 and 926.03

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Solution

The fourth proportional to 3,847.70, 5,771.55 and 926.03 is: 1,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.70 : 5,771.55 = 926.03 : x
  2. Step 2: Convert to fraction form
    3,847.70/5,771.55 = 926.03/x
  3. Step 3: Cross multiply
    3,847.70x = 5,771.55 × 926.03
  4. Step 4: Simplify right side
    3,847.70x = 5,344,646.35
  5. Step 5: Solve for x
    x = 5,344,646.35/3,847.70
  6. Step 6: Final answer
    x = 1,389.05

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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.