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Finding the Fourth Proportional to 5,741.74, 8,611.74 and 2,739.02

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Solution

The fourth proportional to 5,741.74, 8,611.74 and 2,739.02 is: 4,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.74 : 8,611.74 = 2,739.02 : x
  2. Step 2: Convert to fraction form
    5,741.74/8,611.74 = 2,739.02/x
  3. Step 3: Cross multiply
    5,741.74x = 8,611.74 × 2,739.02
  4. Step 4: Simplify right side
    5,741.74x = 23,587,728.09
  5. Step 5: Solve for x
    x = 23,587,728.09/5,741.74
  6. Step 6: Final answer
    x = 4,108.11

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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.