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Finding the Fourth Proportional to 5,200.80, 7,796.56 and 1,913.12

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Solution

The fourth proportional to 5,200.80, 7,796.56 and 1,913.12 is: 2,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.80 : 7,796.56 = 1,913.12 : x
  2. Step 2: Convert to fraction form
    5,200.80/7,796.56 = 1,913.12/x
  3. Step 3: Cross multiply
    5,200.80x = 7,796.56 × 1,913.12
  4. Step 4: Simplify right side
    5,200.80x = 14,915,754.87
  5. Step 5: Solve for x
    x = 14,915,754.87/5,200.80
  6. Step 6: Final answer
    x = 2,867.97

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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.