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Finding the Fourth Proportional to 5,200.60, 7,174 and 3,104.32

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Solution

The fourth proportional to 5,200.60, 7,174 and 3,104.32 is: 4,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.60 : 7,174 = 3,104.32 : x
  2. Step 2: Convert to fraction form
    5,200.60/7,174 = 3,104.32/x
  3. Step 3: Cross multiply
    5,200.60x = 7,174 × 3,104.32
  4. Step 4: Simplify right side
    5,200.60x = 22,270,391.68
  5. Step 5: Solve for x
    x = 22,270,391.68/5,200.60
  6. Step 6: Final answer
    x = 4,282.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.