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Finding the Fourth Proportional to 3,404.94, 5,107.03 and 940.11

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Solution

The fourth proportional to 3,404.94, 5,107.03 and 940.11 is: 1,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.94 : 5,107.03 = 940.11 : x
  2. Step 2: Convert to fraction form
    3,404.94/5,107.03 = 940.11/x
  3. Step 3: Cross multiply
    3,404.94x = 5,107.03 × 940.11
  4. Step 4: Simplify right side
    3,404.94x = 4,801,167.62
  5. Step 5: Solve for x
    x = 4,801,167.62/3,404.94
  6. Step 6: Final answer
    x = 1,410.06

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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.