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Finding the Fourth Proportional to 5,876.14, 8,107.68 and 3,323.96

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Solution

The fourth proportional to 5,876.14, 8,107.68 and 3,323.96 is: 4,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.14 : 8,107.68 = 3,323.96 : x
  2. Step 2: Convert to fraction form
    5,876.14/8,107.68 = 3,323.96/x
  3. Step 3: Cross multiply
    5,876.14x = 8,107.68 × 3,323.96
  4. Step 4: Simplify right side
    5,876.14x = 26,949,604.01
  5. Step 5: Solve for x
    x = 26,949,604.01/5,876.14
  6. Step 6: Final answer
    x = 4,586.28

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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.