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Finding the Fourth Proportional to 5,739.39, 8,613.14 and 2,454.77

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Solution

The fourth proportional to 5,739.39, 8,613.14 and 2,454.77 is: 3,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.39 : 8,613.14 = 2,454.77 : x
  2. Step 2: Convert to fraction form
    5,739.39/8,613.14 = 2,454.77/x
  3. Step 3: Cross multiply
    5,739.39x = 8,613.14 × 2,454.77
  4. Step 4: Simplify right side
    5,739.39x = 21,143,286.94
  5. Step 5: Solve for x
    x = 21,143,286.94/5,739.39
  6. Step 6: Final answer
    x = 3,683.89

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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.