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Finding the Fourth Proportional to 5,739.90, 8,611.16 and 2,042.12

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Solution

The fourth proportional to 5,739.90, 8,611.16 and 2,042.12 is: 3,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.90 : 8,611.16 = 2,042.12 : x
  2. Step 2: Convert to fraction form
    5,739.90/8,611.16 = 2,042.12/x
  3. Step 3: Cross multiply
    5,739.90x = 8,611.16 × 2,042.12
  4. Step 4: Simplify right side
    5,739.90x = 17,585,022.06
  5. Step 5: Solve for x
    x = 17,585,022.06/5,739.90
  6. Step 6: Final answer
    x = 3,063.65

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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.