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Finding the Fourth Proportional to 5,930.68, 8,184.02 and 3,277.93

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Solution

The fourth proportional to 5,930.68, 8,184.02 and 3,277.93 is: 4,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.68 : 8,184.02 = 3,277.93 : x
  2. Step 2: Convert to fraction form
    5,930.68/8,184.02 = 3,277.93/x
  3. Step 3: Cross multiply
    5,930.68x = 8,184.02 × 3,277.93
  4. Step 4: Simplify right side
    5,930.68x = 26,826,644.68
  5. Step 5: Solve for x
    x = 26,826,644.68/5,930.68
  6. Step 6: Final answer
    x = 4,523.37

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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.