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Finding the Fourth Proportional to 5,959.60, 8,221.60 and 4,192.36

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Solution

The fourth proportional to 5,959.60, 8,221.60 and 4,192.36 is: 5,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.60 : 8,221.60 = 4,192.36 : x
  2. Step 2: Convert to fraction form
    5,959.60/8,221.60 = 4,192.36/x
  3. Step 3: Cross multiply
    5,959.60x = 8,221.60 × 4,192.36
  4. Step 4: Simplify right side
    5,959.60x = 34,467,906.98
  5. Step 5: Solve for x
    x = 34,467,906.98/5,959.60
  6. Step 6: Final answer
    x = 5,783.59

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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.