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Finding the Fourth Proportional to 5,188.80, 7,764.96 and 3,241.92

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Solution

The fourth proportional to 5,188.80, 7,764.96 and 3,241.92 is: 4,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.80 : 7,764.96 = 3,241.92 : x
  2. Step 2: Convert to fraction form
    5,188.80/7,764.96 = 3,241.92/x
  3. Step 3: Cross multiply
    5,188.80x = 7,764.96 × 3,241.92
  4. Step 4: Simplify right side
    5,188.80x = 25,173,379.12
  5. Step 5: Solve for x
    x = 25,173,379.12/5,188.80
  6. Step 6: Final answer
    x = 4,851.48

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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.