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Finding the Fourth Proportional to 5,786.19, 7,985.10 and 3,268.68

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Solution

The fourth proportional to 5,786.19, 7,985.10 and 3,268.68 is: 4,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.19 : 7,985.10 = 3,268.68 : x
  2. Step 2: Convert to fraction form
    5,786.19/7,985.10 = 3,268.68/x
  3. Step 3: Cross multiply
    5,786.19x = 7,985.10 × 3,268.68
  4. Step 4: Simplify right side
    5,786.19x = 26,100,704.91
  5. Step 5: Solve for x
    x = 26,100,704.91/5,786.19
  6. Step 6: Final answer
    x = 4,510.86

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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.