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Finding the Fourth Proportional to 5,844.14, 8,064.86 and 3,191.54

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Solution

The fourth proportional to 5,844.14, 8,064.86 and 3,191.54 is: 4,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.14 : 8,064.86 = 3,191.54 : x
  2. Step 2: Convert to fraction form
    5,844.14/8,064.86 = 3,191.54/x
  3. Step 3: Cross multiply
    5,844.14x = 8,064.86 × 3,191.54
  4. Step 4: Simplify right side
    5,844.14x = 25,739,351.43
  5. Step 5: Solve for x
    x = 25,739,351.43/5,844.14
  6. Step 6: Final answer
    x = 4,404.30

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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.