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Finding the Fourth Proportional to 5,921.19, 8,174.38 and 3,826.51

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Solution

The fourth proportional to 5,921.19, 8,174.38 and 3,826.51 is: 5,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.19 : 8,174.38 = 3,826.51 : x
  2. Step 2: Convert to fraction form
    5,921.19/8,174.38 = 3,826.51/x
  3. Step 3: Cross multiply
    5,921.19x = 8,174.38 × 3,826.51
  4. Step 4: Simplify right side
    5,921.19x = 31,279,327.68
  5. Step 5: Solve for x
    x = 31,279,327.68/5,921.19
  6. Step 6: Final answer
    x = 5,282.61

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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.