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Finding the Fourth Proportional to 5,191.14, 7,786.77 and 1,728.39

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Solution

The fourth proportional to 5,191.14, 7,786.77 and 1,728.39 is: 2,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.14 : 7,786.77 = 1,728.39 : x
  2. Step 2: Convert to fraction form
    5,191.14/7,786.77 = 1,728.39/x
  3. Step 3: Cross multiply
    5,191.14x = 7,786.77 × 1,728.39
  4. Step 4: Simplify right side
    5,191.14x = 13,458,575.40
  5. Step 5: Solve for x
    x = 13,458,575.40/5,191.14
  6. Step 6: Final answer
    x = 2,592.60

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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.