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Finding the Fourth Proportional to 5,891.42, 8,129.83 and 3,238.77

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Solution

The fourth proportional to 5,891.42, 8,129.83 and 3,238.77 is: 4,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.42 : 8,129.83 = 3,238.77 : x
  2. Step 2: Convert to fraction form
    5,891.42/8,129.83 = 3,238.77/x
  3. Step 3: Cross multiply
    5,891.42x = 8,129.83 × 3,238.77
  4. Step 4: Simplify right side
    5,891.42x = 26,330,649.51
  5. Step 5: Solve for x
    x = 26,330,649.51/5,891.42
  6. Step 6: Final answer
    x = 4,469.32

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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.