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Finding the Fourth Proportional to 5,926.89, 8,179 and 3,274.48

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Solution

The fourth proportional to 5,926.89, 8,179 and 3,274.48 is: 4,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.89 : 8,179 = 3,274.48 : x
  2. Step 2: Convert to fraction form
    5,926.89/8,179 = 3,274.48/x
  3. Step 3: Cross multiply
    5,926.89x = 8,179 × 3,274.48
  4. Step 4: Simplify right side
    5,926.89x = 26,781,971.92
  5. Step 5: Solve for x
    x = 26,781,971.92/5,926.89
  6. Step 6: Final answer
    x = 4,518.72

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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.