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Finding the Fourth Proportional to 5,195.76, 7,789.98 and 2,596.86

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Solution

The fourth proportional to 5,195.76, 7,789.98 and 2,596.86 is: 3,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.76 : 7,789.98 = 2,596.86 : x
  2. Step 2: Convert to fraction form
    5,195.76/7,789.98 = 2,596.86/x
  3. Step 3: Cross multiply
    5,195.76x = 7,789.98 × 2,596.86
  4. Step 4: Simplify right side
    5,195.76x = 20,229,487.46
  5. Step 5: Solve for x
    x = 20,229,487.46/5,195.76
  6. Step 6: Final answer
    x = 3,893.46

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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.