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Finding the Fourth Proportional to 4,176.21, 6,236.49 and 3,933.21

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Solution

The fourth proportional to 4,176.21, 6,236.49 and 3,933.21 is: 5,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.21 : 6,236.49 = 3,933.21 : x
  2. Step 2: Convert to fraction form
    4,176.21/6,236.49 = 3,933.21/x
  3. Step 3: Cross multiply
    4,176.21x = 6,236.49 × 3,933.21
  4. Step 4: Simplify right side
    4,176.21x = 24,529,424.83
  5. Step 5: Solve for x
    x = 24,529,424.83/4,176.21
  6. Step 6: Final answer
    x = 5,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.