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Finding the Fourth Proportional to 5,200.74, 7,796.19 and 1,735.50

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Solution

The fourth proportional to 5,200.74, 7,796.19 and 1,735.50 is: 2,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.74 : 7,796.19 = 1,735.50 : x
  2. Step 2: Convert to fraction form
    5,200.74/7,796.19 = 1,735.50/x
  3. Step 3: Cross multiply
    5,200.74x = 7,796.19 × 1,735.50
  4. Step 4: Simplify right side
    5,200.74x = 13,530,287.75
  5. Step 5: Solve for x
    x = 13,530,287.75/5,200.74
  6. Step 6: Final answer
    x = 2,601.61

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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.