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Finding the Fourth Proportional to 5,926.95, 8,179.31 and 3,409.88

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Solution

The fourth proportional to 5,926.95, 8,179.31 and 3,409.88 is: 4,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.95 : 8,179.31 = 3,409.88 : x
  2. Step 2: Convert to fraction form
    5,926.95/8,179.31 = 3,409.88/x
  3. Step 3: Cross multiply
    5,926.95x = 8,179.31 × 3,409.88
  4. Step 4: Simplify right side
    5,926.95x = 27,890,433.21
  5. Step 5: Solve for x
    x = 27,890,433.21/5,926.95
  6. Step 6: Final answer
    x = 4,705.70

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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.