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Finding the Fourth Proportional to 5,853.75, 8,078.24 and 3,369.75

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Solution

The fourth proportional to 5,853.75, 8,078.24 and 3,369.75 is: 4,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.75 : 8,078.24 = 3,369.75 : x
  2. Step 2: Convert to fraction form
    5,853.75/8,078.24 = 3,369.75/x
  3. Step 3: Cross multiply
    5,853.75x = 8,078.24 × 3,369.75
  4. Step 4: Simplify right side
    5,853.75x = 27,221,632.39
  5. Step 5: Solve for x
    x = 27,221,632.39/5,853.75
  6. Step 6: Final answer
    x = 4,650.29

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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.