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Finding the Fourth Proportional to 5,200.97, 7,801.46 and 1,305.36

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Solution

The fourth proportional to 5,200.97, 7,801.46 and 1,305.36 is: 1,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.97 : 7,801.46 = 1,305.36 : x
  2. Step 2: Convert to fraction form
    5,200.97/7,801.46 = 1,305.36/x
  3. Step 3: Cross multiply
    5,200.97x = 7,801.46 × 1,305.36
  4. Step 4: Simplify right side
    5,200.97x = 10,183,707.30
  5. Step 5: Solve for x
    x = 10,183,707.30/5,200.97
  6. Step 6: Final answer
    x = 1,958.04

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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.