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Finding the Fourth Proportional to 5,786.87, 7,985.48 and 3,268.19

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Solution

The fourth proportional to 5,786.87, 7,985.48 and 3,268.19 is: 4,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.87 : 7,985.48 = 3,268.19 : x
  2. Step 2: Convert to fraction form
    5,786.87/7,985.48 = 3,268.19/x
  3. Step 3: Cross multiply
    5,786.87x = 7,985.48 × 3,268.19
  4. Step 4: Simplify right side
    5,786.87x = 26,098,049.54
  5. Step 5: Solve for x
    x = 26,098,049.54/5,786.87
  6. Step 6: Final answer
    x = 4,509.87

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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.