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Finding the Fourth Proportional to 5,739.74, 8,613.76 and 2,042

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Solution

The fourth proportional to 5,739.74, 8,613.76 and 2,042 is: 3,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.74 : 8,613.76 = 2,042 : x
  2. Step 2: Convert to fraction form
    5,739.74/8,613.76 = 2,042/x
  3. Step 3: Cross multiply
    5,739.74x = 8,613.76 × 2,042
  4. Step 4: Simplify right side
    5,739.74x = 17,589,297.92
  5. Step 5: Solve for x
    x = 17,589,297.92/5,739.74
  6. Step 6: Final answer
    x = 3,064.48

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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.