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Finding the Fourth Proportional to 5,930.44, 8,184 and 3,277.86

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Solution

The fourth proportional to 5,930.44, 8,184 and 3,277.86 is: 4,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.44 : 8,184 = 3,277.86 : x
  2. Step 2: Convert to fraction form
    5,930.44/8,184 = 3,277.86/x
  3. Step 3: Cross multiply
    5,930.44x = 8,184 × 3,277.86
  4. Step 4: Simplify right side
    5,930.44x = 26,826,006.24
  5. Step 5: Solve for x
    x = 26,826,006.24/5,930.44
  6. Step 6: Final answer
    x = 4,523.44

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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.