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Finding the Fourth Proportional to 5,736.20, 7,916.06 and 3,379.70

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Solution

The fourth proportional to 5,736.20, 7,916.06 and 3,379.70 is: 4,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.20 : 7,916.06 = 3,379.70 : x
  2. Step 2: Convert to fraction form
    5,736.20/7,916.06 = 3,379.70/x
  3. Step 3: Cross multiply
    5,736.20x = 7,916.06 × 3,379.70
  4. Step 4: Simplify right side
    5,736.20x = 26,753,907.98
  5. Step 5: Solve for x
    x = 26,753,907.98/5,736.20
  6. Step 6: Final answer
    x = 4,664.05

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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.