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Finding the Fourth Proportional to 5,260.79, 7,883.67 and 3,863.16

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Solution

The fourth proportional to 5,260.79, 7,883.67 and 3,863.16 is: 5,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.79 : 7,883.67 = 3,863.16 : x
  2. Step 2: Convert to fraction form
    5,260.79/7,883.67 = 3,863.16/x
  3. Step 3: Cross multiply
    5,260.79x = 7,883.67 × 3,863.16
  4. Step 4: Simplify right side
    5,260.79x = 30,455,859.28
  5. Step 5: Solve for x
    x = 30,455,859.28/5,260.79
  6. Step 6: Final answer
    x = 5,789.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.