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Finding the Fourth Proportional to 5,920.94, 8,174.03 and 3,826.26

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Solution

The fourth proportional to 5,920.94, 8,174.03 and 3,826.26 is: 5,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.94 : 8,174.03 = 3,826.26 : x
  2. Step 2: Convert to fraction form
    5,920.94/8,174.03 = 3,826.26/x
  3. Step 3: Cross multiply
    5,920.94x = 8,174.03 × 3,826.26
  4. Step 4: Simplify right side
    5,920.94x = 31,275,964.03
  5. Step 5: Solve for x
    x = 31,275,964.03/5,920.94
  6. Step 6: Final answer
    x = 5,282.26

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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.