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Finding the Fourth Proportional to 5,826.86, 8,041.16 and 3,174.27

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Solution

The fourth proportional to 5,826.86, 8,041.16 and 3,174.27 is: 4,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.86 : 8,041.16 = 3,174.27 : x
  2. Step 2: Convert to fraction form
    5,826.86/8,041.16 = 3,174.27/x
  3. Step 3: Cross multiply
    5,826.86x = 8,041.16 × 3,174.27
  4. Step 4: Simplify right side
    5,826.86x = 25,524,797.08
  5. Step 5: Solve for x
    x = 25,524,797.08/5,826.86
  6. Step 6: Final answer
    x = 4,380.54

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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.