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Finding the Fourth Proportional to 5,785.92, 7,984.57 and 3,268.57

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Solution

The fourth proportional to 5,785.92, 7,984.57 and 3,268.57 is: 4,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.92 : 7,984.57 = 3,268.57 : x
  2. Step 2: Convert to fraction form
    5,785.92/7,984.57 = 3,268.57/x
  3. Step 3: Cross multiply
    5,785.92x = 7,984.57 × 3,268.57
  4. Step 4: Simplify right side
    5,785.92x = 26,098,086.04
  5. Step 5: Solve for x
    x = 26,098,086.04/5,785.92
  6. Step 6: Final answer
    x = 4,510.62

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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.