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Finding the Fourth Proportional to 5,794.39, 8,689.75 and 2,096.13

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Solution

The fourth proportional to 5,794.39, 8,689.75 and 2,096.13 is: 3,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.39 : 8,689.75 = 2,096.13 : x
  2. Step 2: Convert to fraction form
    5,794.39/8,689.75 = 2,096.13/x
  3. Step 3: Cross multiply
    5,794.39x = 8,689.75 × 2,096.13
  4. Step 4: Simplify right side
    5,794.39x = 18,214,845.67
  5. Step 5: Solve for x
    x = 18,214,845.67/5,794.39
  6. Step 6: Final answer
    x = 3,143.53

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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.