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Finding the Fourth Proportional to 3,406.75, 5,109.84 and 941.60

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Solution

The fourth proportional to 3,406.75, 5,109.84 and 941.60 is: 1,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.75 : 5,109.84 = 941.60 : x
  2. Step 2: Convert to fraction form
    3,406.75/5,109.84 = 941.60/x
  3. Step 3: Cross multiply
    3,406.75x = 5,109.84 × 941.60
  4. Step 4: Simplify right side
    3,406.75x = 4,811,438.12
  5. Step 5: Solve for x
    x = 4,811,438.12/3,406.75
  6. Step 6: Final answer
    x = 1,412.33

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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.