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Finding the Fourth Proportional to 5,926.77, 8,178.84 and 3,830.94

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Solution

The fourth proportional to 5,926.77, 8,178.84 and 3,830.94 is: 5,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.77 : 8,178.84 = 3,830.94 : x
  2. Step 2: Convert to fraction form
    5,926.77/8,178.84 = 3,830.94/x
  3. Step 3: Cross multiply
    5,926.77x = 8,178.84 × 3,830.94
  4. Step 4: Simplify right side
    5,926.77x = 31,332,645.31
  5. Step 5: Solve for x
    x = 31,332,645.31/5,926.77
  6. Step 6: Final answer
    x = 5,286.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.