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Finding the Fourth Proportional to 5,192.68, 7,789.68 and 1,682.80

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Solution

The fourth proportional to 5,192.68, 7,789.68 and 1,682.80 is: 2,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.68 : 7,789.68 = 1,682.80 : x
  2. Step 2: Convert to fraction form
    5,192.68/7,789.68 = 1,682.80/x
  3. Step 3: Cross multiply
    5,192.68x = 7,789.68 × 1,682.80
  4. Step 4: Simplify right side
    5,192.68x = 13,108,473.50
  5. Step 5: Solve for x
    x = 13,108,473.50/5,192.68
  6. Step 6: Final answer
    x = 2,524.41

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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.